diff --git a/.github/workflows/test-with-pypi.yml b/.github/workflows/test-with-pypi.yml
new file mode 100644
index 0000000..1ad8e5b
--- /dev/null
+++ b/.github/workflows/test-with-pypi.yml
@@ -0,0 +1,40 @@
+name: Test with PyPI
+
+on: [pull_request, workflow_dispatch]
+
+env:
+  PYTHONUNBUFFERED: 1
+
+jobs:
+
+  # Test against PyPI packages
+  test-with-pypi:
+    strategy:
+      matrix:
+        os: ['ubuntu-latest', 'macos-latest', 'windows-latest']
+        python-version: ['3.6, 3.11']
+
+    runs-on: ${{ matrix.os }}
+    steps:
+      - name: Clone the Scimath source
+        uses: actions/checkout@v3
+      - name: Set up Python ${{ matrix.python-version }}
+        uses: actions/setup-python@v4
+        with:
+          python-version: ${{ matrix.python-version }}
+      - name: Install test dependencies
+        run: python -m pip install click
+      - name: Install package under test
+        run: python -m pip install .
+      - name: Run tests (Ubuntu)
+        if: matrix.os == 'ubuntu-latest'
+        run: |
+          mkdir testdir
+          cd testdir
+          xvfb-run -a python -X faulthandler -m unittest discover -v scimath
+      - name: Run tests (not Ubuntu)
+        if: matrix.os != 'ubuntu-latest'
+        run: |
+          mkdir testdir
+          cd testdir
+          python -X faulthandler -m unittest discover -v scimath