diff --git a/pydantic/schema.py b/pydantic/schema.py
--- a/pydantic/schema.py
+++ b/pydantic/schema.py
@@ -794,6 +794,7 @@ def field_singleton_schema(  # noqa: C901 (ignore complexity)
     f_schema: Dict[str, Any] = {}
     if field.field_info is not None and field.field_info.const:
         f_schema['const'] = field.default
+
     if is_literal_type(field_type):
         values = all_literal_values(field_type)
 
@@ -810,8 +811,8 @@ def field_singleton_schema(  # noqa: C901 (ignore complexity)
         # All values have the same type
         field_type = values[0].__class__
         f_schema['enum'] = list(values)
-
-    if lenient_issubclass(field_type, Enum):
+        add_field_type_to_schema(field_type, f_schema)
+    elif lenient_issubclass(field_type, Enum):
         enum_name = model_name_map[field_type]
         f_schema, schema_overrides = get_field_info_schema(field)
         f_schema.update(get_schema_ref(enum_name, ref_prefix, ref_template, schema_overrides))

diff --git a/tests/test_schema.py b/tests/test_schema.py
--- a/tests/test_schema.py
+++ b/tests/test_schema.py
@@ -1784,6 +1784,22 @@ class Model(BaseModel):
     }
 
 
+def test_literal_enum():
+    class MyEnum(str, Enum):
+        FOO = 'foo'
+        BAR = 'bar'
+
+    class Model(BaseModel):
+        kind: Literal[MyEnum.FOO]
+
+    assert Model.schema() == {
+        'title': 'Model',
+        'type': 'object',
+        'properties': {'kind': {'title': 'Kind', 'enum': ['foo'], 'type': 'string'}},
+        'required': ['kind'],
+    }
+
+
 def test_color_type():
     class Model(BaseModel):
         color: Color

Schema generated for `Literal[MyEnum.MEMBER]` is too lax?
### Checks

* [x] I added a descriptive title to this issue
* [x] I have searched (google, github) for similar issues and couldn't find anything
* [x] I have read and followed [the docs](https://pydantic-docs.helpmanual.io/) and still think this is a bug

<!-- Sorry to sound so draconian, but every second saved replying to issues is time spend improving pydantic :-) -->

# Bug

When creating a model with a property typed as `Literal[MyEnum.MEMBER]`, Pydantic generates a schema that is too lax, describing the property as being any value of the enum instead of a specific one.

Output of `python -c "import pydantic.utils; print(pydantic.utils.version_info())"`:
```
             pydantic version: 1.8.1
            pydantic compiled: True
                 install path: /tmp/tmp.iid8D0iv22/.venv/lib/python3.9/site-packages/pydantic
               python version: 3.9.2 (default, Feb 20 2021, 18:40:11)  [GCC 10.2.0]
                     platform: Linux-5.11.6-arch1-1-x86_64-with-glibc2.33
     optional deps. installed: ['typing-extensions']
```

```py
from typing import Literal
from enum import Enum

from pydantic import BaseModel


class MyEnum(str, Enum):
    FOO = "foo"
    BAR = "bar"


class ModelWithLiteralEnumMemberAndFullEnum(BaseModel):
    kind: Literal[MyEnum.FOO]
    possible_kinds: MyEnum  # This property is there as a workaround for #2534

print(ModelWithLiteralEnumMemberAndFullEnum.schema_json())  # This schema is too lax
```

This gives the following schema:
```json
{
  "title": "ModelWithLiteralEnumMemberAndFullEnum",
  "type": "object",
  "properties": {
    "kind": {
      "title": "Kind",
      "$ref": "#/definitions/MyEnum"
    },
    "possible_kinds": {
      "$ref": "#/definitions/MyEnum"
    }
  },
  "required": [
    "kind",
    "possible_kinds"
  ],
  "definitions": {
    "MyEnum": {
      "title": "MyEnum",
      "description": "An enumeration.",
      "enum": [
        "foo",
        "bar"
      ],
      "type": "string"
    }
  }
}
```

On the other hand, when typing the property as `Literal[MyEnum.MEMBER.value]`, the correct JSON schema is generated, accepting only the specific value. This solution though has the drawback of placing the value in the object instead of the enum member (so you lose `is MyEnum.FOO` comparisons).
```py
from typing import Literal
from enum import Enum

from pydantic import BaseModel


class MyEnum(str, Enum):
    FOO = "foo"
    BAR = "bar"


class ModelWithLiteralEnumValue(BaseModel):
    kind: Literal[MyEnum.FOO.value]

print(ModelWithLiteralEnumValue.schema_json())  # But this one is specific about what value is accepted
```
which gives this schema:
```json
{
  "title": "ModelWithLiteralEnumValue",
  "type": "object",
  "properties": {
    "kind": {
      "title": "Kind",
      "enum": [
        "foo"
      ],
      "type": "string"
    }
  },
  "required": [
    "kind"
  ]
}
```

This depends on #2534 being fixed, because we cannot even put a property typed as `Literal[MyEnum.MEMBER]` alone without the `.schema()` method crashing.

You can also look at a more complete example in different Pydantic versions there: https://gist.github.com/nymous/686d38ba1aa150fefe6da6d78b1cb441 (same gist as #2534).

tests/test_schema.py::test_literal_enum
tests/test_schema.py::test_key tests/test_schema.py::test_by_alias tests/test_schema.py::test_ref_template tests/test_schema.py::test_by_alias_generator tests/test_schema.py::test_sub_model tests/test_schema.py::test_schema_class tests/test_schema.py::test_schema_repr tests/test_schema.py::test_schema_class_by_alias tests/test_schema.py::test_choices tests/test_schema.py::test_enum_modify_schema tests/test_schema.py::test_enum_schema_custom_field tests/test_schema.py::test_enum_and_model_have_same_behaviour tests/test_schema.py::test_list_enum_schema_extras tests/test_schema.py::test_json_schema tests/test_schema.py::test_list_sub_model tests/test_schema.py::test_optional tests/test_schema.py::test_any tests/test_schema.py::test_set tests/test_schema.py::test_const_str tests/test_schema.py::test_const_false tests/test_schema.py::test_tuple[tuple-expected_schema0] tests/test_schema.py::test_tuple[field_type1-expected_schema1] tests/test_schema.py::test_tuple[field_type2-expected_schema2] tests/test_schema.py::test_bool tests/test_schema.py::test_strict_bool tests/test_schema.py::test_dict tests/test_schema.py::test_list tests/test_schema.py::test_list_union_dict[field_type0-expected_schema0] tests/test_schema.py::test_list_union_dict[field_type1-expected_schema1] tests/test_schema.py::test_list_union_dict[field_type2-expected_schema2] tests/test_schema.py::test_list_union_dict[field_type3-expected_schema3] tests/test_schema.py::test_list_union_dict[field_type4-expected_schema4] tests/test_schema.py::test_date_types[datetime-expected_schema0] tests/test_schema.py::test_date_types[date-expected_schema1] tests/test_schema.py::test_date_types[time-expected_schema2] tests/test_schema.py::test_date_types[timedelta-expected_schema3] tests/test_schema.py::test_str_basic_types[field_type0-expected_schema0] tests/test_schema.py::test_str_basic_types[field_type1-expected_schema1] tests/test_schema.py::test_str_basic_types[field_type2-expected_schema2] tests/test_schema.py::test_str_basic_types[field_type3-expected_schema3] tests/test_schema.py::test_str_constrained_types[StrictStr-expected_schema0] tests/test_schema.py::test_str_constrained_types[ConstrainedStr-expected_schema1] tests/test_schema.py::test_str_constrained_types[ConstrainedStrValue-expected_schema2] tests/test_schema.py::test_special_str_types[AnyUrl-expected_schema0] tests/test_schema.py::test_special_str_types[UrlValue-expected_schema1] tests/test_schema.py::test_email_str_types[EmailStr-email] tests/test_schema.py::test_email_str_types[NameEmail-name-email] tests/test_schema.py::test_secret_types[SecretBytes-string] tests/test_schema.py::test_secret_types[SecretStr-string] tests/test_schema.py::test_special_int_types[ConstrainedInt-expected_schema0] tests/test_schema.py::test_special_int_types[ConstrainedIntValue-expected_schema1] tests/test_schema.py::test_special_int_types[ConstrainedIntValue-expected_schema2] tests/test_schema.py::test_special_int_types[ConstrainedIntValue-expected_schema3] tests/test_schema.py::test_special_int_types[PositiveInt-expected_schema4] tests/test_schema.py::test_special_int_types[NegativeInt-expected_schema5] tests/test_schema.py::test_special_int_types[NonNegativeInt-expected_schema6] tests/test_schema.py::test_special_int_types[NonPositiveInt-expected_schema7] tests/test_schema.py::test_special_float_types[ConstrainedFloat-expected_schema0] tests/test_schema.py::test_special_float_types[ConstrainedFloatValue-expected_schema1] tests/test_schema.py::test_special_float_types[ConstrainedFloatValue-expected_schema2] tests/test_schema.py::test_special_float_types[ConstrainedFloatValue-expected_schema3] tests/test_schema.py::test_special_float_types[PositiveFloat-expected_schema4] tests/test_schema.py::test_special_float_types[NegativeFloat-expected_schema5] tests/test_schema.py::test_special_float_types[NonNegativeFloat-expected_schema6] tests/test_schema.py::test_special_float_types[NonPositiveFloat-expected_schema7] tests/test_schema.py::test_special_float_types[ConstrainedDecimal-expected_schema8] tests/test_schema.py::test_special_float_types[ConstrainedDecimalValue-expected_schema9] tests/test_schema.py::test_special_float_types[ConstrainedDecimalValue-expected_schema10] tests/test_schema.py::test_special_float_types[ConstrainedDecimalValue-expected_schema11] tests/test_schema.py::test_uuid_types[UUID-uuid] tests/test_schema.py::test_uuid_types[UUID1-uuid1] tests/test_schema.py::test_uuid_types[UUID3-uuid3] tests/test_schema.py::test_uuid_types[UUID4-uuid4] tests/test_schema.py::test_uuid_types[UUID5-uuid5] tests/test_schema.py::test_path_types[FilePath-file-path] tests/test_schema.py::test_path_types[DirectoryPath-directory-path] tests/test_schema.py::test_path_types[Path-path] tests/test_schema.py::test_json_type tests/test_schema.py::test_ipv4address_type tests/test_schema.py::test_ipv6address_type tests/test_schema.py::test_ipvanyaddress_type tests/test_schema.py::test_ipv4interface_type tests/test_schema.py::test_ipv6interface_type tests/test_schema.py::test_ipvanyinterface_type tests/test_schema.py::test_ipv4network_type tests/test_schema.py::test_ipv6network_type tests/test_schema.py::test_ipvanynetwork_type tests/test_schema.py::test_callable_type[type_0-default_value0] tests/test_schema.py::test_callable_type[type_1-<lambda>] tests/test_schema.py::test_callable_type[type_2-default_value2] tests/test_schema.py::test_callable_type[type_3-<lambda>] tests/test_schema.py::test_error_non_supported_types tests/test_schema.py::test_flat_models_unique_models tests/test_schema.py::test_flat_models_with_submodels tests/test_schema.py::test_flat_models_with_submodels_from_sequence tests/test_schema.py::test_model_name_maps tests/test_schema.py::test_schema_overrides tests/test_schema.py::test_schema_overrides_w_union tests/test_schema.py::test_schema_from_models tests/test_schema.py::test_schema_with_refs[#/components/schemas/-None] tests/test_schema.py::test_schema_with_refs[None-#/components/schemas/{model}] tests/test_schema.py::test_schema_with_refs[#/components/schemas/-#/{model}/schemas/] tests/test_schema.py::test_schema_with_custom_ref_template tests/test_schema.py::test_schema_ref_template_key_error tests/test_schema.py::test_schema_no_definitions tests/test_schema.py::test_list_default tests/test_schema.py::test_dict_default tests/test_schema.py::test_constraints_schema[kwargs0-str-expected_extra0] tests/test_schema.py::test_constraints_schema[kwargs1-ConstrainedStrValue-expected_extra1] tests/test_schema.py::test_constraints_schema[kwargs2-str-expected_extra2] tests/test_schema.py::test_constraints_schema[kwargs3-bytes-expected_extra3] tests/test_schema.py::test_constraints_schema[kwargs4-str-expected_extra4] tests/test_schema.py::test_constraints_schema[kwargs5-int-expected_extra5] tests/test_schema.py::test_constraints_schema[kwargs6-int-expected_extra6] tests/test_schema.py::test_constraints_schema[kwargs7-int-expected_extra7] tests/test_schema.py::test_constraints_schema[kwargs8-int-expected_extra8] tests/test_schema.py::test_constraints_schema[kwargs9-int-expected_extra9] tests/test_schema.py::test_constraints_schema[kwargs10-float-expected_extra10] tests/test_schema.py::test_constraints_schema[kwargs11-float-expected_extra11] tests/test_schema.py::test_constraints_schema[kwargs12-float-expected_extra12] tests/test_schema.py::test_constraints_schema[kwargs13-float-expected_extra13] tests/test_schema.py::test_constraints_schema[kwargs14-float-expected_extra14] tests/test_schema.py::test_constraints_schema[kwargs15-float-expected_extra15] tests/test_schema.py::test_constraints_schema[kwargs16-float-expected_extra16] tests/test_schema.py::test_constraints_schema[kwargs17-float-expected_extra17] tests/test_schema.py::test_constraints_schema[kwargs18-float-expected_extra18] tests/test_schema.py::test_constraints_schema[kwargs19-Decimal-expected_extra19] tests/test_schema.py::test_constraints_schema[kwargs20-Decimal-expected_extra20] tests/test_schema.py::test_constraints_schema[kwargs21-Decimal-expected_extra21] tests/test_schema.py::test_constraints_schema[kwargs22-Decimal-expected_extra22] tests/test_schema.py::test_constraints_schema[kwargs23-Decimal-expected_extra23] tests/test_schema.py::test_unenforced_constraints_schema[kwargs0-int] tests/test_schema.py::test_unenforced_constraints_schema[kwargs1-float] tests/test_schema.py::test_unenforced_constraints_schema[kwargs2-Decimal] tests/test_schema.py::test_unenforced_constraints_schema[kwargs3-bool] tests/test_schema.py::test_unenforced_constraints_schema[kwargs4-int] tests/test_schema.py::test_unenforced_constraints_schema[kwargs5-str] tests/test_schema.py::test_unenforced_constraints_schema[kwargs6-bytes] tests/test_schema.py::test_unenforced_constraints_schema[kwargs7-str] tests/test_schema.py::test_unenforced_constraints_schema[kwargs8-bool] tests/test_schema.py::test_unenforced_constraints_schema[kwargs9-type_9] tests/test_schema.py::test_unenforced_constraints_schema[kwargs10-type_10] tests/test_schema.py::test_unenforced_constraints_schema[kwargs11-ConstrainedListValue] tests/test_schema.py::test_unenforced_constraints_schema[kwargs12-ConstrainedSetValue] tests/test_schema.py::test_constraints_schema_validation[kwargs0-str-foo] tests/test_schema.py::test_constraints_schema_validation[kwargs1-str-foo] tests/test_schema.py::test_constraints_schema_validation[kwargs2-bytes-foo] tests/test_schema.py::test_constraints_schema_validation[kwargs3-str-foo] tests/test_schema.py::test_constraints_schema_validation[kwargs4-int-3] tests/test_schema.py::test_constraints_schema_validation[kwargs5-int-3] tests/test_schema.py::test_constraints_schema_validation[kwargs6-int-3] tests/test_schema.py::test_constraints_schema_validation[kwargs7-int-2] tests/test_schema.py::test_constraints_schema_validation[kwargs8-int-3] tests/test_schema.py::test_constraints_schema_validation[kwargs9-int-3] tests/test_schema.py::test_constraints_schema_validation[kwargs10-int-5] tests/test_schema.py::test_constraints_schema_validation[kwargs11-float-3.0] tests/test_schema.py::test_constraints_schema_validation[kwargs12-float-2.1] tests/test_schema.py::test_constraints_schema_validation[kwargs13-float-3.0] tests/test_schema.py::test_constraints_schema_validation[kwargs14-float-4.9] tests/test_schema.py::test_constraints_schema_validation[kwargs15-float-3.0] tests/test_schema.py::test_constraints_schema_validation[kwargs16-float-2.0] tests/test_schema.py::test_constraints_schema_validation[kwargs17-float-3.0] tests/test_schema.py::test_constraints_schema_validation[kwargs18-float-5.0] tests/test_schema.py::test_constraints_schema_validation[kwargs19-float-3] tests/test_schema.py::test_constraints_schema_validation[kwargs20-float-3] tests/test_schema.py::test_constraints_schema_validation[kwargs21-Decimal-value21] tests/test_schema.py::test_constraints_schema_validation[kwargs22-Decimal-value22] tests/test_schema.py::test_constraints_schema_validation[kwargs23-Decimal-value23] tests/test_schema.py::test_constraints_schema_validation[kwargs24-Decimal-value24] tests/test_schema.py::test_constraints_schema_validation[kwargs25-Decimal-value25] tests/test_schema.py::test_constraints_schema_validation[kwargs26-Decimal-value26] tests/test_schema.py::test_constraints_schema_validation_raises[kwargs0-str-foobar] tests/test_schema.py::test_constraints_schema_validation_raises[kwargs1-str-f] tests/test_schema.py::test_constraints_schema_validation_raises[kwargs2-str-bar] tests/test_schema.py::test_constraints_schema_validation_raises[kwargs3-int-2] tests/test_schema.py::test_constraints_schema_validation_raises[kwargs4-int-5] tests/test_schema.py::test_constraints_schema_validation_raises[kwargs5-int-1] tests/test_schema.py::test_constraints_schema_validation_raises[kwargs6-int-6] tests/test_schema.py::test_constraints_schema_validation_raises[kwargs7-float-2.0] tests/test_schema.py::test_constraints_schema_validation_raises[kwargs8-float-5.0] tests/test_schema.py::test_constraints_schema_validation_raises[kwargs9-float-1.9] tests/test_schema.py::test_constraints_schema_validation_raises[kwargs10-float-5.1] tests/test_schema.py::test_constraints_schema_validation_raises[kwargs11-Decimal-value11] tests/test_schema.py::test_constraints_schema_validation_raises[kwargs12-Decimal-value12] tests/test_schema.py::test_constraints_schema_validation_raises[kwargs13-Decimal-value13] tests/test_schema.py::test_constraints_schema_validation_raises[kwargs14-Decimal-value14] tests/test_schema.py::test_schema_kwargs tests/test_schema.py::test_schema_dict_constr tests/test_schema.py::test_bytes_constrained_types[ConstrainedBytes-expected_schema0] tests/test_schema.py::test_bytes_constrained_types[ConstrainedBytesValue-expected_schema1] tests/test_schema.py::test_optional_dict tests/test_schema.py::test_optional_validator tests/test_schema.py::test_field_with_validator tests/test_schema.py::test_unparameterized_schema_generation tests/test_schema.py::test_known_model_optimization tests/test_schema.py::test_root tests/test_schema.py::test_root_list tests/test_schema.py::test_root_nested_model tests/test_schema.py::test_new_type_schema tests/test_schema.py::test_literal_schema tests/test_schema.py::test_color_type tests/test_schema.py::test_model_with_schema_extra tests/test_schema.py::test_model_with_schema_extra_callable tests/test_schema.py::test_model_with_schema_extra_callable_no_model_class tests/test_schema.py::test_model_with_schema_extra_callable_classmethod tests/test_schema.py::test_model_with_schema_extra_callable_instance_method tests/test_schema.py::test_model_with_extra_forbidden tests/test_schema.py::test_enforced_constraints[int-kwargs0-field_schema0] tests/test_schema.py::test_enforced_constraints[annotation1-kwargs1-field_schema1] tests/test_schema.py::test_enforced_constraints[annotation2-kwargs2-field_schema2] tests/test_schema.py::test_enforced_constraints[annotation3-kwargs3-field_schema3] tests/test_schema.py::test_enforced_constraints[annotation4-kwargs4-field_schema4] tests/test_schema.py::test_enforced_constraints[annotation5-kwargs5-field_schema5] tests/test_schema.py::test_enforced_constraints[annotation6-kwargs6-field_schema6] tests/test_schema.py::test_enforced_constraints[annotation7-kwargs7-field_schema7] tests/test_schema.py::test_real_vs_phony_constraints tests/test_schema.py::test_subfield_field_info tests/test_schema.py::test_dataclass tests/test_schema.py::test_schema_attributes tests/test_schema.py::test_model_process_schema_enum tests/test_schema.py::test_path_modify_schema tests/test_schema.py::test_frozen_set tests/test_schema.py::test_iterable tests/test_schema.py::test_new_type tests/test_schema.py::test_multiple_models_with_same_name tests/test_schema.py::test_multiple_enums_with_same_name tests/test_schema.py::test_schema_for_generic_field tests/test_schema.py::test_nested_generic tests/test_schema.py::test_nested_generic_model tests/test_schema.py::test_complex_nested_generic