diff --git a/cibuildwheel/resources/build-platforms.toml b/cibuildwheel/resources/build-platforms.toml
index ae0322f7..2a944c44 100644
--- a/cibuildwheel/resources/build-platforms.toml
+++ b/cibuildwheel/resources/build-platforms.toml
@@ -44,5 +44,5 @@ python_configurations = [
   { identifier = "cp38-win_amd64", version = "3.8.10", arch = "64" },
   { identifier = "cp39-win32", version = "3.9.5", arch = "32" },
   { identifier = "cp39-win_amd64", version = "3.9.5", arch = "64" },
-  { identifier = "pp37-win32", version = "3.7", arch = "32", url = "https://downloads.python.org/pypy/pypy3.7-v7.3.4rc1-win32.zip" },
+  { identifier = "pp37-win_amd64", version = "3.7", arch = "32", url = "https://downloads.python.org/pypy/pypy3.7-v7.3.4rc1-win64.zip" },
 ]
diff --git a/docs/options.md b/docs/options.md
index 669724d6..cf39648b 100644
--- a/docs/options.md
+++ b/docs/options.md
@@ -124,7 +124,7 @@ When setting the options, you can use shell-style globbing syntax, as per [fnmat
 | Python 3.7   | cp37-macosx_x86_64                                                  | cp37-win_amd64<br/>cp37-win32 | cp37-manylinux_x86_64<br/>cp37-manylinux_i686 | cp37-manylinux_aarch64<br/>cp37-manylinux_ppc64le<br/>cp37-manylinux_s390x |
 | Python 3.8   | cp38-macosx_x86_64                                                  | cp38-win_amd64<br/>cp38-win32 | cp38-manylinux_x86_64<br/>cp38-manylinux_i686 | cp38-manylinux_aarch64<br/>cp38-manylinux_ppc64le<br/>cp38-manylinux_s390x |
 | Python 3.9   | cp39-macosx_x86_64<br/>cp39-macosx_universal2<br/>cp39-macosx_arm64 | cp39-win_amd64<br/>cp39-win32 | cp39-manylinux_x86_64<br/>cp39-manylinux_i686 | cp39-manylinux_aarch64<br/>cp39-manylinux_ppc64le<br/>cp39-manylinux_s390x |
-| PyPy3.7 v7.3 | pp37-macosx_x86_64                                                  |                    pp37-win32 | pp37-manylinux_x86_64                         |                                                                            |
+| PyPy3.7 v7.3 | pp37-macosx_x86_64                                                  |                pp37-win_amd64 | pp37-manylinux_x86_64                         |                                                                            |
 
 
 The list of supported and currently selected build identifiers can also be retrieved by passing the `--print-build-identifiers` flag to cibuildwheel.
diff --git a/unit_test/build_selector_test.py b/unit_test/build_selector_test.py
index 67fbde6f..c57bb146 100644
--- a/unit_test/build_selector_test.py
+++ b/unit_test/build_selector_test.py
@@ -92,8 +92,7 @@ def test_build_limited_python():
     assert not build_selector("cp36-win32")
     assert build_selector("cp37-win32")
     assert build_selector("cp38-win32")
-    assert not build_selector("pp36-win32")
-    assert build_selector("pp37-win32")
+    assert build_selector('pp37-win_amd64')
 
 
 def test_build_limited_python_partial():