diff --git a/.github/workflows/aws_tfhe_integer_tests.yml b/.github/workflows/aws_tfhe_integer_tests.yml
index 65a01ce611..81f3a4765d 100644
--- a/.github/workflows/aws_tfhe_integer_tests.yml
+++ b/.github/workflows/aws_tfhe_integer_tests.yml
@@ -52,7 +52,7 @@ jobs:
     name: Unsigned integer tests
     needs: setup-instance
     concurrency:
-      group: ${{ github.workflow }}_${{ github.ref }}
+      group: ${{ github.workflow }}_${{ github.ref }}${{ github.ref == 'refs/heads/main' && github.sha || '' }}
       cancel-in-progress: ${{ github.ref != 'refs/heads/main' }}
     runs-on: ${{ needs.setup-instance.outputs.runner-name }}
     steps:
diff --git a/.github/workflows/aws_tfhe_signed_integer_tests.yml b/.github/workflows/aws_tfhe_signed_integer_tests.yml
index c96a8955ff..7cc425b58f 100644
--- a/.github/workflows/aws_tfhe_signed_integer_tests.yml
+++ b/.github/workflows/aws_tfhe_signed_integer_tests.yml
@@ -52,7 +52,7 @@ jobs:
     name: Signed integer tests
     needs: setup-instance
     concurrency:
-      group: ${{ github.workflow }}_${{ github.ref }}
+      group: ${{ github.workflow }}_${{ github.ref }}${{ github.ref == 'refs/heads/main' && github.sha || '' }}
       cancel-in-progress: ${{ github.ref != 'refs/heads/main' }}
     runs-on: ${{ needs.setup-instance.outputs.runner-name }}
     steps: