diff --git a/.github/workflows/stale.yml b/.github/workflows/stale.yml
index 1532af26f59..fc0c15dc0a6 100644
--- a/.github/workflows/stale.yml
+++ b/.github/workflows/stale.yml
@@ -14,10 +14,23 @@ jobs:
     runs-on: ubuntu-latest
 
     steps:
-    - uses: actions/stale@v4
+    - name: "Check PRs with 'CLA signed' label"
+      uses: actions/stale@v4
       with:
         repo-token: ${{ secrets.GITHUB_TOKEN }}
+        only-pr-labels: 'CLA signed'
         stale-pr-message: 'This PR is stale because it has been open for 30 days with no activity.'
         stale-pr-label: 'stale'
         days-before-stale: 30
         days-before-close: -1
+
+    - name: "Check PRs with 'CLA not signed' label"
+      uses: actions/stale@v4
+      with:
+        repo-token: ${{ secrets.GITHUB_TOKEN }}
+        only-pr-labels: 'CLA not signed'
+        stale-pr-message: 'This PR is stale because it has been open for 30 days with no activity. If the CLA is not signed within 14 days, it will be closed. See also https://devguide.python.org/pullrequest/#licensing'
+        stale-pr-label: 'stale'
+        close-pr-message: 'Closing this stale PR because the CLA is still not signed.'
+        days-before-stale: 30
+        days-before-close: 14