diff --git a/.github/workflows/push-important-models.yml b/.github/workflows/push-important-models.yml
index a6ea03277d6055..93a17ea7f6993c 100644
--- a/.github/workflows/push-important-models.yml
+++ b/.github/workflows/push-important-models.yml
@@ -53,11 +53,12 @@ jobs:
   test_modified_files:
     needs: get_modified_models
     name: Slow & FA2 tests
+    runs-on: ubuntu-latest
     runs-on: [single-gpu, nvidia-gpu, a10, ci]
     container:
       image: huggingface/transformers-all-latest-gpu
       options: --gpus all --privileged --ipc host -v /mnt/cache/.cache/huggingface:/mnt/cache/
-    if: ${{ needs.get_modified_models.outputs.matrix != '[]' && needs.get_modified_models.outputs.matrix != '' }}
+    if: ${{ needs.get_modified_models.outputs.matrix != '[]' && needs.get_modified_models.outputs.matrix != '' && fromJson(needs.get_modified_models.outputs.matrix)[0] != null }}
     strategy:
       fail-fast: false
       matrix: 
@@ -133,4 +134,4 @@ jobs:
           authkey: ${{ secrets.TAILSCALE_SSH_AUTHKEY }}
           slackChannel: ${{ secrets.SLACK_CIFEEDBACK_CHANNEL }}
           slackToken: ${{ secrets.SLACK_CIFEEDBACK_BOT_TOKEN }}
-          waitForSSH: true
\ No newline at end of file
+          waitForSSH: true