diff --git a/.github/workflows/Python.yml b/.github/workflows/Python.yml
index 8744d1097c5d..4459d4cdca08 100644
--- a/.github/workflows/Python.yml
+++ b/.github/workflows/Python.yml
@@ -52,7 +52,7 @@ concurrency:
 env:
   GH_TOKEN: ${{ secrets.GH_TOKEN }}
   OVERRIDE_GIT_DESCRIBE: ${{ inputs.override_git_describe }}
-  CIBW_TEST_SKIP: ${{ inputs.skip_tests == 'true' && '*-*' || '' }}
+  CIBW_TEST_SKIP: ${{ inputs.skip_tests == 'true' && '*-*' || 'cp37-*' }}
 
 jobs:
 #  This is just a sanity check of Python 3.9 running with Arrow