diff --git a/.github/workflows/python.yml b/.github/workflows/python.yml
index 3cdd76a..22600f8 100644
--- a/.github/workflows/python.yml
+++ b/.github/workflows/python.yml
@@ -1,4 +1,4 @@
-name: python
+name: Test and Build
 
 on: [push, pull_request]
 
@@ -20,3 +20,12 @@ jobs:
         pip install tox tox-gh-actions
     - name: Test with tox
       run: tox
+
+  build:
+    needs: tox
+    runs-on: ubuntu-latest
+    steps:
+    - uses: actions/checkout@v3
+    - name: Build the Docker image
+      working-directory: ./docker
+      run: docker build . --file Dockerfile --tag my-image-name:$(date +%s)