diff --git a/cibuildwheel/resources/build-platforms.toml b/cibuildwheel/resources/build-platforms.toml
index e239ef07..cf253d9e 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-win_amd64", version = "3.7", arch = "32", url = "https://downloads.python.org/pypy/pypy3.7-v7.3.4rc2-win64.zip" },
+  { identifier = "pp37-win_amd64", version = "3.7", arch = "64", url = "https://downloads.python.org/pypy/pypy3.7-v7.3.4rc2-win64.zip" },
 ]
diff --git a/cibuildwheel/windows.py b/cibuildwheel/windows.py
index 04884289..73691d8f 100644
--- a/cibuildwheel/windows.py
+++ b/cibuildwheel/windows.py
@@ -95,7 +95,7 @@ def install_cpython(version: str, arch: str, nuget: Path) -> Path:
 
 
 def install_pypy(version: str, arch: str, url: str) -> Path:
-    assert arch == "32"
+    assert arch == '64' and 'win64' in url
     # Inside the PyPy zip file is a directory with the same name
     zip_filename = url.rsplit("/", 1)[-1]
     extension = ".zip"