diff --git a/tools/run_tests/artifacts/build_artifact_python.sh b/tools/run_tests/artifacts/build_artifact_python.sh
index 6f2ca8716e0..a462ab5493e 100755
--- a/tools/run_tests/artifacts/build_artifact_python.sh
+++ b/tools/run_tests/artifacts/build_artifact_python.sh
@@ -155,7 +155,7 @@ then
   "${PYTHON}" -m pip install virtualenv
   "${PYTHON}" -m virtualenv venv || { "${PYTHON}" -m pip install virtualenv==20.0.23 && "${PYTHON}" -m virtualenv venv; }
   # Ensure the generated artifacts are valid using "twine check"
-  venv/bin/python -m pip install "twine<=2.0"
+  venv/bin/python -m pip install "twine<=2.0" "readme_renderer<40.0"
   venv/bin/python -m twine check dist/* tools/distrib/python/grpcio_tools/dist/*
   rm -rf venv/
 fi