diff --git a/pydantic/main.py b/pydantic/main.py
--- a/pydantic/main.py
+++ b/pydantic/main.py
@@ -508,6 +508,7 @@ def json(
     def _enforce_dict_if_root(cls, obj: Any) -> Any:
         if cls.__custom_root_type__ and (
             not (isinstance(obj, dict) and obj.keys() == {ROOT_KEY})
+            and not (isinstance(obj, BaseModel) and obj.__fields__.keys() == {ROOT_KEY})
             or cls.__fields__[ROOT_KEY].shape in MAPPING_LIKE_SHAPES
         ):
             return {ROOT_KEY: obj}

diff --git a/tests/test_parse.py b/tests/test_parse.py
--- a/tests/test_parse.py
+++ b/tests/test_parse.py
@@ -46,6 +46,7 @@ class MyModel(BaseModel):
     m = MyModel.parse_obj('a')
     assert m.dict() == {'__root__': 'a'}
     assert m.__root__ == 'a'
+    assert MyModel.parse_obj(m) == m
 
 
 def test_parse_root_list():

Pydantic doesn't properly parses models with custom root into custom root models
### Initial Checks

- [X] I have searched GitHub for a duplicate issue and I'm sure this is something new
- [X] I have searched Google & StackOverflow for a solution 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
- [X] I am confident that the issue is with pydantic (not my code, or another library in the ecosystem like [FastAPI](https://fastapi.tiangolo.com) or [mypy](https://mypy.readthedocs.io/en/stable))


### Description

This is because [_enforce_dict_if_root()](https://github.com/pydantic/pydantic/blob/1.10.X-fixes/pydantic/main.py#L510) checks only for **dicts** with root key but not for **models** with root key.

### Example Code

```Python
from pydantic import BaseModel

class Test(BaseModel):
    __root__: int

Test.parse_obj(dict(Test.parse_obj(1))) # works fine

Test.parse_obj(Test.parse_obj(1))

# Expected: Test(__root__=1)

# Actual: pydantic.error_wrappers.ValidationError: 1 validation error for Test
# __root__
#   value is not a valid integer (type=type_error.integer)
```


### Python, Pydantic & OS Version

```Text
pydantic version: 1.10.2
            pydantic compiled: True
                 install path: C:\Users\gou17\AppData\Local\Programs\Python\Python310\Lib\site-packages\pydantic
               python version: 3.10.4 (tags/v3.10.4:9d38120, Mar 23 2022, 23:13:41) [MSC v.1929 64 bit (AMD64)]
                     platform: Windows-10-10.0.22621-SP0
     optional deps. installed: ['dotenv', 'email-validator', 'typing-extensions']
```


### Affected Components

- [ ] [Compatibility between releases](https://pydantic-docs.helpmanual.io/changelog/)
- [X] [Data validation/parsing](https://pydantic-docs.helpmanual.io/usage/models/#basic-model-usage)
- [ ] [Data serialization](https://pydantic-docs.helpmanual.io/usage/exporting_models/) - `.dict()` and `.json()`
- [ ] [JSON Schema](https://pydantic-docs.helpmanual.io/usage/schema/)
- [ ] [Dataclasses](https://pydantic-docs.helpmanual.io/usage/dataclasses/)
- [ ] [Model Config](https://pydantic-docs.helpmanual.io/usage/model_config/)
- [ ] [Field Types](https://pydantic-docs.helpmanual.io/usage/types/) - adding or changing a particular data type
- [ ] [Function validation decorator](https://pydantic-docs.helpmanual.io/usage/validation_decorator/)
- [ ] [Generic Models](https://pydantic-docs.helpmanual.io/usage/models/#generic-models)
- [ ] [Other Model behaviour](https://pydantic-docs.helpmanual.io/usage/models/) - `construct()`, pickling, private attributes, ORM mode
- [ ] [Plugins](https://pydantic-docs.helpmanual.io/) and integration with other tools - mypy, FastAPI, python-devtools, Hypothesis, VS Code, PyCharm, etc.

tests/test_parse.py::test_parse_obj_root
tests/test_parse.py::test_obj tests/test_parse.py::test_parse_obj_fails tests/test_parse.py::test_parse_obj_submodel tests/test_parse.py::test_parse_obj_wrong_model tests/test_parse.py::test_parse_root_list tests/test_parse.py::test_parse_nested_root_list tests/test_parse.py::test_parse_nested_root_tuple tests/test_parse.py::test_parse_nested_custom_root tests/test_parse.py::test_json tests/test_parse.py::test_json_ct tests/test_parse.py::test_pickle_ct tests/test_parse.py::test_pickle_proto tests/test_parse.py::test_pickle_not_allowed tests/test_parse.py::test_bad_ct tests/test_parse.py::test_bad_proto tests/test_parse.py::test_file_json tests/test_parse.py::test_file_json_no_ext tests/test_parse.py::test_file_json_loads tests/test_parse.py::test_file_pickle tests/test_parse.py::test_file_pickle_no_ext tests/test_parse.py::test_const_differentiates_union