diff --git a/.github/workflows/compatiblity_test_on_pr.yml b/.github/workflows/compatiblity_test_on_pr.yml
index 9c0a8f3cc..a621c7e34 100644
--- a/.github/workflows/compatiblity_test_on_pr.yml
+++ b/.github/workflows/compatiblity_test_on_pr.yml
@@ -44,7 +44,7 @@ jobs:
       options: --gpus all --rm -v /data/scratch/cifar-10:/data/scratch/cifar-10
     timeout-minutes: 120
     concurrency:
-      group: ${{ github.workflow }}-${{ github.event.pull_request.number || github.ref }}-run-test
+      group: ${{ github.workflow }}-${{ github.event.pull_request.number || github.ref }}-run-test-${{ matrix.container }}
       cancel-in-progress: true
     steps:
       - name: Install dependencies
diff --git a/.github/workflows/example_check_on_pr.yml b/.github/workflows/example_check_on_pr.yml
index 34ebba83c..ec23b9d1c 100644
--- a/.github/workflows/example_check_on_pr.yml
+++ b/.github/workflows/example_check_on_pr.yml
@@ -81,7 +81,7 @@ jobs:
       options: --gpus all --rm -v /data/scratch/examples-data:/data/
     timeout-minutes: 10
     concurrency:
-      group: ${{ github.workflow }}-${{ github.event.pull_request.number || github.ref }}-run-example
+      group: ${{ github.workflow }}-${{ github.event.pull_request.number || github.ref }}-run-example-${{ matrix.directory }}
       cancel-in-progress: true
     steps:
       - uses: actions/checkout@v3