diff --git a/.github/workflows/build_primary_wheels.yml b/.github/workflows/build_primary_wheels.yml
index 12062b8..73e7759 100644
--- a/.github/workflows/build_primary_wheels.yml
+++ b/.github/workflows/build_primary_wheels.yml
@@ -30,24 +30,41 @@ jobs:
       - uses: actions/upload-artifact@v3
         with:
           path: ./wheelhouse/*.whl
-  
-  build:
-    name: Build pure py
+
+  build_pure_py:
+    name: Build and test pure py wheels
     runs-on: ubuntu-latest
+    strategy:
+      matrix: 
+        include:
+          - tag: py311
+            version: 3.11
+          - tag: py312
+            version: 3.12
 
     steps:
       - uses: actions/checkout@v4
       
       - name: Set up Python
-        uses: actions/setup-python@v4
+        uses: actions/setup-python@v5
         with:
-          python-version: ">=3.6"
+          python-version: "${{ matrix.version }}"
 
       - name: Install dependencies
         run: pip install -U pip setuptools wheel pytest
 
+      - name: Build module
+        run: FROZENDICT_PURE_PY=1 python setup.py bdist_wheel
+
+      - name: Change tag to wheel
+        run: python -m wheel tags --python-tag=${{ matrix.tag }} --remove dist/*
+
       - name: Install module
-        run: FROZENDICT_PURE_PY=1 python setup.py install
+        run: pip install dist/*
       
       - name: Test with pytest
         run: pytest
+
+      - uses: actions/upload-artifact@v3
+        with:
+          path: ./dist/*