diff --git a/.github/workflows/tox.yml b/.github/workflows/tox.yml
index f317fb9..698a043 100644
--- a/.github/workflows/tox.yml
+++ b/.github/workflows/tox.yml
@@ -33,8 +33,9 @@ jobs:
           tox
 
   test:
-    name: Run tests
+    name: Run tests (SQLite)
     runs-on: ubuntu-latest
+
     strategy:
       matrix:
         python: ["3.10", "3.11"]
@@ -56,3 +57,39 @@ jobs:
         run: |
           pip install tox
           tox
+
+  test-pg:
+    name: Run tests (Postgres)
+    runs-on: ubuntu-latest
+    strategy:
+      matrix:
+        toxenv: [postgres]
+    env:
+      TOXENV: py${{ matrix.python }}-django${{ matrix.django }}
+
+    # run postgres tests on GH
+    services:
+      postgres:
+        image: postgres
+        env:
+          POSTGRES_PASSWORD: postgres
+        # Set health checks to wait until postgres has started
+        options: >-
+          --health-cmd pg_isready
+          --health-interval 10s
+          --health-timeout 5s
+          --health-retries 5
+
+    steps:
+      - name: Check out the repository
+        uses: actions/checkout@v3
+
+      - name: Set up Python ${{ matrix.python }}
+        uses: actions/setup-python@v4
+        with:
+          python-version: ${{ matrix.python }}
+
+      - name: Install and run tox
+        run: |
+          pip install tox
+          tox
diff --git a/tox.ini b/tox.ini
index 1c6eb09..e1a8154 100644
--- a/tox.ini
+++ b/tox.ini
@@ -3,6 +3,7 @@ isolated_build = True
 envlist =
     fmt, lint, mypy,
     django-checks,
+    postgres,
     py310-django{32,40,41,42,main}
     py311-django{32,40,41,42,main}
 
@@ -19,7 +20,17 @@ deps =
     djangomain: https://github.com/django/django/archive/main.tar.gz
 
 commands =
-    pytest --cov=anonymiser --verbose tests/
+    pytest --cov=anonymiser --verbose --ds={env:DJANGO_SETTINGS_MODULE} tests/
+
+[testenv:postgres]
+deps =
+    pytest
+    pytest-django
+    psycopg2-binary
+    django
+
+commands =
+    pytest --verbose --ds=tests.settings_postgres tests/
 
 [testenv:django-checks]
 description = Django system checks and missing migrations