diff --git a/.github/workflows/nmodl-wheel.yml b/.github/workflows/nmodl-wheel.yml
index 08d8016526..e0a0c39029 100644
--- a/.github/workflows/nmodl-wheel.yml
+++ b/.github/workflows/nmodl-wheel.yml
@@ -37,7 +37,8 @@ jobs:
         run: python -m cibuildwheel --output-dir wheelhouse
         # to supply options, put them in 'env', like:
         env:
-          CIBW_SKIP: pp*
+          # we skip PyPy (for now) and 32-bit builds
+          CIBW_SKIP: "pp* *-win32 *-manylinux_i686"
           CIBW_ENVIRONMENT_MACOS: >
             PATH="/opt/homebrew/opt/flex/bin:/opt/homebrew/opt/bison/bin:/usr/local/opt/flex/bin:/usr/local/opt/bison/bin:$PATH"
             MACOSX_DEPLOYMENT_TARGET='10.15'