diff --git a/.github/workflows/schedule_tests.yml b/.github/workflows/schedule_tests.yml
index 33f33a9708b..edd4bd16bed 100644
--- a/.github/workflows/schedule_tests.yml
+++ b/.github/workflows/schedule_tests.yml
@@ -19,6 +19,7 @@ jobs:
           - '3.10'
           - '3.11'
           - '3.12'
+          - '3.13-dev'
     name: Windows, SQLite, Python ${{ matrix.python-version }}
     continue-on-error: true
     steps:
diff --git a/tests/requirements/py3.txt b/tests/requirements/py3.txt
index b915eaab392..43eb1d1d672 100644
--- a/tests/requirements/py3.txt
+++ b/tests/requirements/py3.txt
@@ -4,10 +4,10 @@ argon2-cffi >= 19.2.0
 bcrypt
 black
 docutils >= 0.19
-geoip2
+geoip2; python_version < '3.13'
 jinja2 >= 2.11.0
-numpy
-Pillow >= 6.2.1
+numpy; sys.platform != 'win32' or python_version < '3.13'
+Pillow >= 6.2.1; sys.platform != 'win32' or python_version < '3.13'
 # pylibmc/libmemcached can't be built on Windows.
 pylibmc; sys.platform != 'win32'
 pymemcache >= 3.4.0