diff --git a/.github/workflows/workflow.yml b/.github/workflows/workflow.yml
index 4482102..6987660 100644
--- a/.github/workflows/workflow.yml
+++ b/.github/workflows/workflow.yml
@@ -10,6 +10,23 @@ permissions:
   contents: read # to fetch code (actions/checkout)
 
 jobs:
+  test-with-ssl:
+    name: Test all, including SSL tests
+    runs-on: ubuntu-20.04
+    steps:
+    - uses: actions/checkout@v3
+    - name: Build the Docker test image for tox
+      uses: docker/build-push-action@v2
+      with:
+        file: tests/Dockerfile
+        tags: rqtest-image:latest
+        push: false
+    - name: Launch tox for all test scenarii
+      uses: addnab/docker-run-action@v3
+      with:
+        image: rqtest-image:latest
+        run: stunnel & redis-server & RUN_SSL_TESTS=1 tox
+
   test:
     name: Python${{ matrix.python-version }}/Redis${{ matrix.redis-version }}/redis-py${{ matrix.redis-py-version }}
     runs-on: ubuntu-20.04
diff --git a/tox.ini b/tox.ini
index 4552ab2..b2644f3 100644
--- a/tox.ini
+++ b/tox.ini
@@ -9,6 +9,9 @@ deps=
     sentry-sdk
     codecov
     psutil
+passenv=
+    RUN_SSL_TESTS
+    RUN_SLOW_TESTS_TOO
 
 [testenv:flake8]
 basepython = python3.6