diff --git a/.github/get-supported-python-versions.py b/.github/get-supported-python-versions.py
index 42a61a0b9..239208b91 100644
--- a/.github/get-supported-python-versions.py
+++ b/.github/get-supported-python-versions.py
@@ -52,10 +52,14 @@ def _parse_args() -> pathlib.Path:
 
 def _main(package: pathlib.Path) -> None:
     versions = _get_supported_python_versions(package=package)
-    line = f'versions={json.dumps(versions)}'
-    print(line)
+    lines = [
+        f'versions={json.dumps(versions)}',
+        f'min_version={versions[0]}',
+    ]
     with pathlib.Path(os.environ['GITHUB_OUTPUT']).open('a') as f:
-        print(line, file=f)
+        for line in lines:
+            print(line)  # logging
+            print(line, file=f)
 
 
 def _get_supported_python_versions(package: pathlib.Path) -> list[str]:
diff --git a/.github/workflows/test-package.yaml b/.github/workflows/test-package.yaml
index 82a9bed93..1732a77b5 100644
--- a/.github/workflows/test-package.yaml
+++ b/.github/workflows/test-package.yaml
@@ -76,11 +76,15 @@ jobs:
       - name: Check substrates needed for integration tests
         id: integration-substrates
         if: contains(fromJson(steps.tests.outputs.tests), 'integration')
+        env:
+          PACKAGE: ${{ inputs.package }}
+          PYTHON: ${{ steps.python.outputs.min_version }}
         run: |
+          set -x  # print lines before executing them
           substrates=()
           for substrate in k8s machine; do
             set +e  # don't abort if the next process has a non-zero exit code
-            uvx --from rust-just just integration-$substrate ${{ inputs.package }} --collect-only -q
+            uvx --from rust-just just python="$PYTHON" integration-$substrate "$PACKAGE" --collect-only -q
             case $? in
                 0) substrates+=($substrate);;
                 5) echo "No tests for $substrate";;