diff --git a/.github/workflows/cibuildwheel.yml b/.github/workflows/cibuildwheel.yml
index acd0fb855..8f0a4fd6c 100644
--- a/.github/workflows/cibuildwheel.yml
+++ b/.github/workflows/cibuildwheel.yml
@@ -84,9 +84,9 @@ jobs:
       # These needs to rotate every new Python release.
       run: |
         if [[ "${{ github.event_name }}" == "pull_request" ]]; then
-          CIBW_SKIP="pp* cp36-* cp37-* *-musllinux* cp39-* cp310-* cp311-*"
+          CIBW_SKIP="pp* cp36-* cp37-* *-musllinux* cp39-* cp310-* cp311-* cp312-*"
         else
-          CIBW_SKIP="pp* cp36-* cp37-* *-musllinux*"
+          CIBW_SKIP="pp* cp36-* cp37-* cp38-* *-musllinux*"
         fi
         echo "CIBW_SKIP=$CIBW_SKIP" >> $GITHUB_ENV
         echo "Setting CIBW_SKIP=$CIBW_SKIP"