diff --git a/.github/workflows/cancel_workflows.yml b/.github/workflows/cancel_workflows.yml
deleted file mode 100644
index 0816a08b..00000000
--- a/.github/workflows/cancel_workflows.yml
+++ /dev/null
@@ -1,19 +0,0 @@
-name: Cancel duplicate workflows
-
-on:
-  workflow_run:
-    workflows: ["CI"]
-    types:
-      - requested
-
-# Note: This has to be in workflow_run so it works for PRs from forks.  And only cancel
-# pull_request triggers, not push, i.e. merges into master.
-jobs:
-  cancel:
-    runs-on: ubuntu-latest
-    if: ${{ github.event.workflow_run.event == 'pull_request' }}
-    steps:
-    - name: Cancel previous runs
-      uses: styfle/cancel-workflow-action@3d86a7cc43670094ac248017207be0295edbc31d  # 0.8.0
-      with:
-        workflow_id: ${{ github.event.workflow.id }}
diff --git a/.github/workflows/ci.yml b/.github/workflows/ci.yml
index aa9e4040..d3d4e090 100644
--- a/.github/workflows/ci.yml
+++ b/.github/workflows/ci.yml
@@ -12,6 +12,10 @@ on:
     # * is a special character in YAML so you have to quote this string
     - cron: '0 9 * * 1'
 
+concurrency:
+  group: ${{ github.workflow }}-${{ github.ref }}
+  cancel-in-progress: true
+
 jobs:
   check:
     uses: OpenAstronomy/github-actions-workflows/.github/workflows/tox.yml@v1