diff --git a/.github/workflows/publish_pypi.yml b/.github/workflows/publish_pypi.yml
index 22c496367a..724343473e 100644
--- a/.github/workflows/publish_pypi.yml
+++ b/.github/workflows/publish_pypi.yml
@@ -66,7 +66,8 @@ jobs:
         env:
           CIBW_ENVIRONMENT: 'PYBAMM_USE_VCPKG=ON VCPKG_ROOT_DIR=C:\vcpkg VCPKG_DEFAULT_TRIPLET=x64-windows-static-md VCPKG_FEATURE_FLAGS=manifests,registries CMAKE_GENERATOR="Visual Studio 17 2022" CMAKE_GENERATOR_PLATFORM=x64'
           CIBW_ARCHS: "AMD64"
-          CIBW_BEFORE_BUILD: python -m pip install setuptools wheel
+          CIBW_BEFORE_BUILD: python -m pip install setuptools wheel # skip CasADi and CMake
+          CIBW_TEST_COMMAND: python -c "import pybamm; pybamm.IDAKLUSolver()"
 
       - name: Upload Windows wheels
         uses: actions/upload-artifact@v4
@@ -76,7 +77,7 @@ jobs:
           if-no-files-found: error
 
   build_macos_and_linux_wheels:
-    name: Wheels ${{ matrix.os }}
+    name: Wheels (${{ matrix.os }})
     runs-on: ${{ matrix.os }}
     strategy:
       fail-fast: false