diff --git a/README.md b/README.md
index 41cb6203..702b9baa 100644
--- a/README.md
+++ b/README.md
@@ -31,6 +31,7 @@
 | CPython 3.10  | ✅ | ✅  | ✅  | ✅  | ✅² | ✅ | ✅  | ✅ | ✅  | ✅  |
 | PyPy 3.7 v7.3 | ✅ | N/A | ✅  | N/A | N/A | ✅¹ | ✅¹  | ✅¹ | N/A | N/A |
 | PyPy 3.8 v7.3 | ✅ | N/A | ✅  | N/A | N/A | ✅¹ | ✅¹  | ✅¹ | N/A | N/A |
+| PyPy 3.9 v7.3 | ✅ | N/A | ✅  | N/A | N/A | ✅¹ | ✅¹  | ✅¹ | N/A | N/A |
 
 <sup>¹ PyPy is only supported for manylinux wheels.</sup><br>
 <sup>² Windows arm64 support is experimental.</sup><br>
diff --git a/bin/update_pythons.py b/bin/update_pythons.py
index 30859259..e4939f79 100755
--- a/bin/update_pythons.py
+++ b/bin/update_pythons.py
@@ -109,7 +109,12 @@ def __init__(self, arch_str: ArchStr):
         response = requests.get("https://downloads.python.org/pypy/versions.json")
         response.raise_for_status()
 
-        releases = [r for r in response.json() if r["pypy_version"] != "nightly"]
+        releases = [
+            r
+            for r in response.json()
+            if r["pypy_version"] != "nightly"
+            and f'{r["python_version"]}-{r["pypy_version"]}' != "3.7.12-7.3.8"
+        ]
         for release in releases:
             release["pypy_version"] = Version(release["pypy_version"])
             release["python_version"] = Version(release["python_version"])
diff --git a/cibuildwheel/resources/build-platforms.toml b/cibuildwheel/resources/build-platforms.toml
index 13625461..5bb0350e 100644
--- a/cibuildwheel/resources/build-platforms.toml
+++ b/cibuildwheel/resources/build-platforms.toml
@@ -12,6 +12,7 @@ python_configurations = [
   { identifier = "cp310-manylinux_i686", version = "3.10", path_str = "/opt/python/cp310-cp310" },
   { identifier = "pp37-manylinux_x86_64", version = "3.7", path_str = "/opt/python/pp37-pypy37_pp73" },
   { identifier = "pp38-manylinux_x86_64", version = "3.8", path_str = "/opt/python/pp38-pypy38_pp73" },
+  { identifier = "pp39-manylinux_x86_64", version = "3.9", path_str = "/opt/python/pp39-pypy39_pp73" },
   { identifier = "cp36-manylinux_aarch64", version = "3.6", path_str = "/opt/python/cp36-cp36m" },
   { identifier = "cp37-manylinux_aarch64", version = "3.7", path_str = "/opt/python/cp37-cp37m" },
   { identifier = "cp38-manylinux_aarch64", version = "3.8", path_str = "/opt/python/cp38-cp38" },
@@ -29,8 +30,10 @@ python_configurations = [
   { identifier = "cp310-manylinux_s390x", version = "3.10", path_str = "/opt/python/cp310-cp310" },
   { identifier = "pp37-manylinux_aarch64", version = "3.7", path_str = "/opt/python/pp37-pypy37_pp73" },
   { identifier = "pp38-manylinux_aarch64", version = "3.8", path_str = "/opt/python/pp38-pypy38_pp73" },
+  { identifier = "pp39-manylinux_aarch64", version = "3.9", path_str = "/opt/python/pp39-pypy39_pp73" },
   { identifier = "pp37-manylinux_i686", version = "3.7", path_str = "/opt/python/pp37-pypy37_pp73" },
   { identifier = "pp38-manylinux_i686", version = "3.8", path_str = "/opt/python/pp38-pypy38_pp73" },
+  { identifier = "pp39-manylinux_i686", version = "3.9", path_str = "/opt/python/pp39-pypy39_pp73" },
   { identifier = "cp36-musllinux_x86_64", version = "3.6", path_str = "/opt/python/cp36-cp36m" },
   { identifier = "cp37-musllinux_x86_64", version = "3.7", path_str = "/opt/python/cp37-cp37m" },
   { identifier = "cp38-musllinux_x86_64", version = "3.8", path_str = "/opt/python/cp38-cp38" },
@@ -71,8 +74,9 @@ python_configurations = [
   { identifier = "cp310-macosx_x86_64", version = "3.10", url = "https://www.python.org/ftp/python/3.10.2/python-3.10.2-macos11.pkg" },
   { identifier = "cp310-macosx_arm64", version = "3.10", url = "https://www.python.org/ftp/python/3.10.2/python-3.10.2-macos11.pkg" },
   { identifier = "cp310-macosx_universal2", version = "3.10", url = "https://www.python.org/ftp/python/3.10.2/python-3.10.2-macos11.pkg" },
-  { identifier = "pp37-macosx_x86_64", version = "3.7", url = "https://downloads.python.org/pypy/pypy3.7-v7.3.8-osx64.tar.bz2" },
+  { identifier = "pp37-macosx_x86_64", version = "3.7", url = "https://downloads.python.org/pypy/pypy3.7-v7.3.7-osx64.tar.bz2" },
   { identifier = "pp38-macosx_x86_64", version = "3.8", url = "https://downloads.python.org/pypy/pypy3.8-v7.3.8-osx64.tar.bz2" },
+  { identifier = "pp39-macosx_x86_64", version = "3.9", url = "https://downloads.python.org/pypy/pypy3.9-v7.3.8-osx64.tar.bz2" },
 ]
 
 [windows]
@@ -89,6 +93,7 @@ python_configurations = [
   { identifier = "cp310-win_amd64", version = "3.10.2", arch = "64" },
   { identifier = "cp39-win_arm64", version = "3.9.10", arch = "ARM64" },
   { identifier = "cp310-win_arm64", version = "3.10.2", arch = "ARM64" },
-  { identifier = "pp37-win_amd64", version = "3.7", arch = "64", url = "https://downloads.python.org/pypy/pypy3.7-v7.3.8-win64.zip" },
+  { identifier = "pp37-win_amd64", version = "3.7", arch = "64", url = "https://downloads.python.org/pypy/pypy3.7-v7.3.7-win64.zip" },
   { identifier = "pp38-win_amd64", version = "3.8", arch = "64", url = "https://downloads.python.org/pypy/pypy3.8-v7.3.8-win64.zip" },
+  { identifier = "pp39-win_amd64", version = "3.9", arch = "64", url = "https://downloads.python.org/pypy/pypy3.9-v7.3.8-win64.zip" },
 ]
diff --git a/cibuildwheel/resources/pinned_docker_images.cfg b/cibuildwheel/resources/pinned_docker_images.cfg
index 3b946830..ffcb0f03 100644
--- a/cibuildwheel/resources/pinned_docker_images.cfg
+++ b/cibuildwheel/resources/pinned_docker_images.cfg
@@ -1,43 +1,43 @@
 [x86_64]
 manylinux1 = quay.io/pypa/manylinux1_x86_64:2022-02-20-044a1ea
-manylinux2010 = quay.io/pypa/manylinux2010_x86_64:2022-02-20-e7cad68
-manylinux2014 = quay.io/pypa/manylinux2014_x86_64:2022-02-20-e7cad68
-manylinux_2_24 = quay.io/pypa/manylinux_2_24_x86_64:2022-02-20-e7cad68
-musllinux_1_1 = quay.io/pypa/musllinux_1_1_x86_64:2022-02-20-e7cad68
+manylinux2010 = quay.io/pypa/manylinux2010_x86_64:2022-02-24-3876535
+manylinux2014 = quay.io/pypa/manylinux2014_x86_64:2022-02-24-3876535
+manylinux_2_24 = quay.io/pypa/manylinux_2_24_x86_64:2022-02-24-3876535
+musllinux_1_1 = quay.io/pypa/musllinux_1_1_x86_64:2022-02-24-3876535
 
 [i686]
 manylinux1 = quay.io/pypa/manylinux1_i686:2022-02-20-044a1ea
-manylinux2010 = quay.io/pypa/manylinux2010_i686:2022-02-20-e7cad68
-manylinux2014 = quay.io/pypa/manylinux2014_i686:2022-02-20-e7cad68
-manylinux_2_24 = quay.io/pypa/manylinux_2_24_i686:2022-02-20-e7cad68
-musllinux_1_1 = quay.io/pypa/musllinux_1_1_i686:2022-02-20-e7cad68
+manylinux2010 = quay.io/pypa/manylinux2010_i686:2022-02-24-3876535
+manylinux2014 = quay.io/pypa/manylinux2014_i686:2022-02-24-3876535
+manylinux_2_24 = quay.io/pypa/manylinux_2_24_i686:2022-02-24-3876535
+musllinux_1_1 = quay.io/pypa/musllinux_1_1_i686:2022-02-24-3876535
 
 [pypy_x86_64]
-manylinux2010 = quay.io/pypa/manylinux2010_x86_64:2022-02-20-e7cad68
-manylinux2014 = quay.io/pypa/manylinux2014_x86_64:2022-02-20-e7cad68
-manylinux_2_24 = quay.io/pypa/manylinux_2_24_x86_64:2022-02-20-e7cad68
+manylinux2010 = quay.io/pypa/manylinux2010_x86_64:2022-02-24-3876535
+manylinux2014 = quay.io/pypa/manylinux2014_x86_64:2022-02-24-3876535
+manylinux_2_24 = quay.io/pypa/manylinux_2_24_x86_64:2022-02-24-3876535
 
 [pypy_i686]
-manylinux2010 = quay.io/pypa/manylinux2010_i686:2022-02-20-e7cad68
-manylinux2014 = quay.io/pypa/manylinux2014_i686:2022-02-20-e7cad68
-manylinux_2_24 = quay.io/pypa/manylinux_2_24_i686:2022-02-20-e7cad68
+manylinux2010 = quay.io/pypa/manylinux2010_i686:2022-02-24-3876535
+manylinux2014 = quay.io/pypa/manylinux2014_i686:2022-02-24-3876535
+manylinux_2_24 = quay.io/pypa/manylinux_2_24_i686:2022-02-24-3876535
 
 [aarch64]
-manylinux2014 = quay.io/pypa/manylinux2014_aarch64:2022-02-20-e7cad68
-manylinux_2_24 = quay.io/pypa/manylinux_2_24_aarch64:2022-02-20-e7cad68
-musllinux_1_1 = quay.io/pypa/musllinux_1_1_aarch64:2022-02-20-e7cad68
+manylinux2014 = quay.io/pypa/manylinux2014_aarch64:2022-02-24-3876535
+manylinux_2_24 = quay.io/pypa/manylinux_2_24_aarch64:2022-02-24-3876535
+musllinux_1_1 = quay.io/pypa/musllinux_1_1_aarch64:2022-02-24-3876535
 
 [ppc64le]
-manylinux2014 = quay.io/pypa/manylinux2014_ppc64le:2022-02-20-e7cad68
-manylinux_2_24 = quay.io/pypa/manylinux_2_24_ppc64le:2022-02-20-e7cad68
-musllinux_1_1 = quay.io/pypa/musllinux_1_1_ppc64le:2022-02-20-e7cad68
+manylinux2014 = quay.io/pypa/manylinux2014_ppc64le:2022-02-24-3876535
+manylinux_2_24 = quay.io/pypa/manylinux_2_24_ppc64le:2022-02-24-3876535
+musllinux_1_1 = quay.io/pypa/musllinux_1_1_ppc64le:2022-02-24-3876535
 
 [s390x]
-manylinux2014 = quay.io/pypa/manylinux2014_s390x:2022-02-20-e7cad68
-manylinux_2_24 = quay.io/pypa/manylinux_2_24_s390x:2022-02-20-e7cad68
-musllinux_1_1 = quay.io/pypa/musllinux_1_1_s390x:2022-02-20-e7cad68
+manylinux2014 = quay.io/pypa/manylinux2014_s390x:2022-02-24-3876535
+manylinux_2_24 = quay.io/pypa/manylinux_2_24_s390x:2022-02-24-3876535
+musllinux_1_1 = quay.io/pypa/musllinux_1_1_s390x:2022-02-24-3876535
 
 [pypy_aarch64]
-manylinux2014 = quay.io/pypa/manylinux2014_aarch64:2022-02-20-e7cad68
-manylinux_2_24 = quay.io/pypa/manylinux_2_24_aarch64:2022-02-20-e7cad68
+manylinux2014 = quay.io/pypa/manylinux2014_aarch64:2022-02-24-3876535
+manylinux_2_24 = quay.io/pypa/manylinux_2_24_aarch64:2022-02-24-3876535
 
diff --git a/docs/options.md b/docs/options.md
index 46f2d24e..45f67873 100644
--- a/docs/options.md
+++ b/docs/options.md
@@ -211,6 +211,7 @@ ### `CIBW_BUILD`, `CIBW_SKIP` {: #build-skip}
 | Python 3.10  | cp310-macosx_x86_64<br/>cp310-macosx_universal2<br/>cp310-macosx_arm64 | cp310-win_amd64<br/>cp310-win32<br/>cp310-win_arm64   | cp310-manylinux_x86_64<br/>cp310-manylinux_i686<br/>cp310-musllinux_x86_64<br/>cp310-musllinux_i686 | cp310-manylinux_aarch64<br/>cp310-manylinux_ppc64le<br/>cp310-manylinux_s390x<br/>cp310-musllinux_aarch64<br/>cp310-musllinux_ppc64le<br/>cp310-musllinux_s390x |
 | PyPy3.7 v7.3 | pp37-macosx_x86_64                                                     | pp37-win_amd64                   | pp37-manylinux_x86_64<br/>pp37-manylinux_i686                                                       | pp37-manylinux_aarch64                                                                                                                                          |
 | PyPy3.8 v7.3 | pp38-macosx_x86_64                                                     | pp38-win_amd64                   | pp38-manylinux_x86_64<br/>pp38-manylinux_i686                                                       | pp38-manylinux_aarch64                                                                                                                                          |
+| PyPy3.9 v7.3 | pp39-macosx_x86_64                                                     | pp39-win_amd64                   | pp39-manylinux_x86_64<br/>pp39-manylinux_i686                                                       | pp39-manylinux_aarch64                                                                                                                                          |
 
 The list of supported and currently selected build identifiers can also be retrieved by passing the `--print-build-identifiers` flag to cibuildwheel.
 The format is `python_tag-platform_tag`, with tags similar to those in [PEP 425](https://www.python.org/dev/peps/pep-0425/#details).

diff --git a/test/test_manylinuxXXXX_only.py b/test/test_manylinuxXXXX_only.py
index f7c533d4..7ae5ebb1 100644
--- a/test/test_manylinuxXXXX_only.py
+++ b/test/test_manylinuxXXXX_only.py
@@ -71,6 +71,9 @@ def test(manylinux_image, tmp_path):
     if manylinux_image in {"manylinux1"}:
         # We don't have a manylinux1 image for PyPy & CPython 3.10 and above
         add_env["CIBW_SKIP"] = "pp* cp31*"
+    if manylinux_image in {"manylinux2010"}:
+        # We don't have a manylinux2010 image for PyPy 3.9
+        add_env["CIBW_SKIP"] = "pp39*"
 
     actual_wheels = utils.cibuildwheel_run(project_dir, add_env=add_env)
 
@@ -88,4 +91,7 @@ def test(manylinux_image, tmp_path):
     if manylinux_image in {"manylinux1"}:
         # remove PyPy & CPython 3.10 and above
         expected_wheels = [w for w in expected_wheels if "-pp" not in w and "-cp31" not in w]
+    if manylinux_image in {"manylinux2010"}:
+        # remove PyPy 3.9
+        expected_wheels = [w for w in expected_wheels if "-pp39" not in w]
     assert set(actual_wheels) == set(expected_wheels)
diff --git a/test/utils.py b/test/utils.py
index 98715954..0248a7c1 100644
--- a/test/utils.py
+++ b/test/utils.py
@@ -135,7 +135,7 @@ def expected_wheels(
     python_abi_tags = ["cp36-cp36m", "cp37-cp37m", "cp38-cp38", "cp39-cp39", "cp310-cp310"]
 
     if machine_arch in ["x86_64", "AMD64", "x86", "aarch64"]:
-        python_abi_tags += ["pp37-pypy37_pp73", "pp38-pypy38_pp73"]
+        python_abi_tags += ["pp37-pypy37_pp73", "pp38-pypy38_pp73", "pp39-pypy39_pp73"]
 
     if platform == "macos" and machine_arch == "arm64":
         # currently, arm64 macs are only supported by cp39 & cp310
diff --git a/unit_test/option_prepare_test.py b/unit_test/option_prepare_test.py
index d21ba65d..354cda4a 100644
--- a/unit_test/option_prepare_test.py
+++ b/unit_test/option_prepare_test.py
@@ -11,7 +11,7 @@
 from cibuildwheel import linux, util
 from cibuildwheel.__main__ import main
 
-ALL_IDS = {"cp36", "cp37", "cp38", "cp39", "cp310", "pp37", "pp38"}
+ALL_IDS = {"cp36", "cp37", "cp38", "cp39", "cp310", "pp37", "pp38", "pp39"}
 
 
 @pytest.fixture
@@ -133,7 +133,7 @@ def test_build_with_override_launches(mock_build_docker, monkeypatch, tmp_path):
 
     identifiers = {x.identifier for x in kwargs["platform_configs"]}
     assert identifiers == {
-        f"{x}-manylinux_x86_64" for x in ALL_IDS - {"cp36", "cp310", "pp37", "pp38"}
+        f"{x}-manylinux_x86_64" for x in ALL_IDS - {"cp36", "cp310", "pp37", "pp38", "pp39"}
     }
     assert kwargs["options"].build_options("cp37-manylinux_x86_64").before_all == ""
 
@@ -146,6 +146,7 @@ def test_build_with_override_launches(mock_build_docker, monkeypatch, tmp_path):
         "cp310-manylinux_x86_64",
         "pp37-manylinux_x86_64",
         "pp38-manylinux_x86_64",
+        "pp39-manylinux_x86_64",
     }
 
     kwargs = build_on_docker.call_args_list[3][1]

PyPy has released bug fixes and a python3.9
### Description

PyPy released version v7.3.8. It would be nice to be able to use it in cibuildwheel, including the newly released python3.9

### Build log

_No response_

### CI config

_No response_
unit_test/option_prepare_test.py::test_build_default_launches unit_test/option_prepare_test.py::test_build_with_override_launches