diff --git a/.circleci/config.yml b/.circleci/config.yml
index 9cb6ebcd4d..8d705bd621 100644
--- a/.circleci/config.yml
+++ b/.circleci/config.yml
@@ -180,24 +180,6 @@ jobs:
           paths:
             - "/home/circleci/.local"
       - compile_and_test
-      - run:
-          name: Install dependencies for wheel test
-          command: |
-            ARGO_NET_GIT_FETCH_WITH_CLI=1 pip install twine --user
-            # Remove tskit installed by msprime
-            pip uninstall tskit -y
-      - run:
-          name: Build Python package
-          command: |
-            cd python
-            rm -fR build
-            python -m pip install build
-            python -m venv venv
-            python -m build --sdist
-            python -m twine check dist/*.tar.gz
-            python -m build --wheel
-            pip install dist/*.whl
-            tskit --help
 
   build-32:
     docker:
diff --git a/.github/workflows/tests.yml b/.github/workflows/tests.yml
index c778a9728a..36f9622fc5 100644
--- a/.github/workflows/tests.yml
+++ b/.github/workflows/tests.yml
@@ -8,10 +8,18 @@ on:
 
 env:
   FORCE_COLOR: 1
+
 jobs:
   pre-commit:
     name: Lint
-    uses: tskit-dev/.github/.github/workflows/lint.yml@v2
+    uses: tskit-dev/.github/.github/workflows/lint.yml@v4
+
+  packaging:
+    name: Python packaging
+    uses: tskit-dev/.github/.github/workflows/python-packaging.yml@v4
+    with:
+      working-directory: python
+      cli-test-cmd: tskit --help
 
   test:
     name: Python
@@ -53,7 +61,7 @@ jobs:
         with:
           python-version: ${{ matrix.python }}
           version: "0.8.15"
-      
+
       - name: Install dependencies
         working-directory: python
         run: |
diff --git a/python/pyproject.toml b/python/pyproject.toml
index bab789cf96..9a4af869e4 100644
--- a/python/pyproject.toml
+++ b/python/pyproject.toml
@@ -10,7 +10,7 @@ authors = [
 ]
 description = "The tree sequence toolkit."
 readme = "README.rst"
-license = {text = "MIT"}
+license = "MIT"
 classifiers = [
     "Programming Language :: C",
     "Programming Language :: Python",
@@ -23,7 +23,6 @@ classifiers = [
     "Development Status :: 5 - Production/Stable",
     "Environment :: Other Environment",
     "Intended Audience :: Science/Research",
-    "License :: OSI Approved :: MIT License",
     "Operating System :: POSIX",
     "Operating System :: MacOS :: MacOS X",
     "Operating System :: Microsoft :: Windows",