diff --git a/.github/workflows/python-publish.yml b/.github/workflows/python-publish.yml
index c2b3a50..5937168 100644
--- a/.github/workflows/python-publish.yml
+++ b/.github/workflows/python-publish.yml
@@ -15,20 +15,13 @@ jobs:
   build:
     name: Build distribution 📦
     runs-on: ubuntu-latest
-    strategy:
-      matrix:
-        python-version: ["3.8", "3.9", "3.10", "3.11"]
-
-    container:
-      image: firedrakeproject/firedrake-vanilla:latest
-      options: --user root
 
     steps:
     - uses: actions/checkout@v4
     - name: Set up Python
       uses: actions/setup-python@v4
       with:
-        python-version: ${{ matrix.python-version }}
+        python-version: "3.x"
     - name: Install pypa/build
       shell: bash -l {0}
       run: >-
@@ -38,9 +31,7 @@ jobs:
         --user
     - name: Build a binary wheel and a source tarball
       shell: bash -l {0}
-      run: |
-        python3 -m pip install numpy cython petsc petsc4py
-        python3 -m build
+      run: python3 -m build
     - name: Store the distribution packages
       uses: actions/upload-artifact@v3
       with: