diff --git a/.github/workflows/python-package.yml b/.github/workflows/python-package.yml
index cc2e3f75..dd3ace05 100644
--- a/.github/workflows/python-package.yml
+++ b/.github/workflows/python-package.yml
@@ -14,11 +14,21 @@ jobs:
     name: "Run tests with Python ${{ matrix.python-version }}"
     runs-on: "ubuntu-latest"
 
+    continue-on-error: ${{ matrix.experimental }}
     strategy:
-      # Complete all jobs even if one fails
       fail-fast: false
       matrix:
-        python-version: ["3.7", "3.8", "3.9", "3.10", "3.11", "pypy3.9"]
+        python-version:
+          - "pypy3.9"
+          - "3.8"
+          - "3.9"
+          - "3.10"
+          - "3.11"
+          - "3.12"
+        experimental: [ false ]
+        include:
+          - python-version: "~3.13.0-0"
+            experimental: true
 
     steps:
       - uses: actions/checkout@v3
@@ -41,3 +51,15 @@ jobs:
         uses: codecov/codecov-action@v3
         with:
             token: ${{ secrets.CODECOV_TOKEN }}
+            
+  check:  # This job does nothing and is only used for the branch protection
+    name: ✅ Ensure the required checks passing
+    if: always()
+    needs:
+      - tests
+    runs-on: ubuntu-latest
+    steps:
+    - name: Decide whether the needed jobs succeeded or failed
+      uses: re-actors/alls-green@release/v1
+      with:
+        jobs: ${{ toJSON(needs) }}