diff --git a/.github/workflows/build-upload.yml b/.github/workflows/build-upload.yml
index 86f16e79..42180364 100644
--- a/.github/workflows/build-upload.yml
+++ b/.github/workflows/build-upload.yml
@@ -18,20 +18,15 @@ jobs:
       - uses: pre-commit/action@v2.0.3
 
   build_wheels:
-    name: Build ${{ matrix.archs }} wheels on ${{ matrix.os }}
+    name: Build ${{ matrix.archs }} ${{ matrix.build }} wheels on ${{ matrix.os }}
     needs: [lint]
     runs-on: ${{ matrix.os }}
     strategy:
       matrix:
+        os: [ubuntu-20.04]
+        archs: ["x86_64, i686", "aarch64", "ppc64le", "s390x"]
+        build: ["manylinux", "musllinux"]
         include:
-          - os: ubuntu-20.04
-            archs: "x86_64, i686"
-          - os: ubuntu-20.04
-            archs: "aarch64"
-          - os: ubuntu-20.04
-            archs: "ppc64le"
-          - os: ubuntu-20.04
-            archs: "s390x"
           - os: windows-2019
             archs: "AMD64"
           - os: windows-2019
@@ -57,6 +52,7 @@ jobs:
         uses: pypa/cibuildwheel@2.6.0
         env:
           CIBW_ARCHS: "${{ matrix.archs }}"
+          CIBW_BUILD: "${{ matrix.build && '*-' || ''}}${{ matrix.build }}*"
           CIBW_PRERELEASE_PYTHONS: "${{ !startsWith(github.ref, 'refs/tags/v') }}"
 
       - uses: actions/upload-artifact@v3
diff --git a/pyproject.toml b/pyproject.toml
index b88e0689..d3a9418d 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -2,7 +2,6 @@
 requires = ["setuptools", "wheel"]
 
 [tool.cibuildwheel]
-skip = "*-musllinux*"
 test-requires = "pytest"
 test-command = "pytest --pyargs pybase64"