diff --git a/.github/workflows/aws_tfhe_integer_tests.yml b/.github/workflows/aws_tfhe_integer_tests.yml
index cd4f8dfa1..eb2ec357b 100644
--- a/.github/workflows/aws_tfhe_integer_tests.yml
+++ b/.github/workflows/aws_tfhe_integer_tests.yml
@@ -59,6 +59,7 @@ jobs:
               - tfhe/src/core_crypto/**
               - tfhe/src/shortint/**
               - tfhe/src/integer/**
+              - .github/workflows/aws_tfhe_integer_tests.yml
 
   setup-instance:
     name: Setup instance (unsigned-integer-tests)
@@ -66,7 +67,7 @@ jobs:
     if:
       (github.event_name == 'push' && github.repository == 'zama-ai/tfhe-rs' && needs.should-run.outputs.integer_test == 'true') ||
       (github.event_name == 'schedule' && github.repository == 'zama-ai/tfhe-rs') ||
-      (github.event_name == 'pull_request' && contains(github.event.label.name, 'approved')) ||
+      (github.event_name == 'pull_request' && contains(github.event.label.name, 'approved') && needs.should-run.outputs.integer_test == 'true') ||
       github.event_name == 'workflow_dispatch'
     runs-on: ubuntu-latest
     outputs:
diff --git a/.github/workflows/aws_tfhe_signed_integer_tests.yml b/.github/workflows/aws_tfhe_signed_integer_tests.yml
index 23e615d58..f2150c6ba 100644
--- a/.github/workflows/aws_tfhe_signed_integer_tests.yml
+++ b/.github/workflows/aws_tfhe_signed_integer_tests.yml
@@ -66,7 +66,7 @@ jobs:
     if:
       (github.event_name == 'push' && github.repository == 'zama-ai/tfhe-rs' && needs.should-run.outputs.integer_test == 'true') ||
       (github.event_name == 'schedule' && github.repository == 'zama-ai/tfhe-rs') ||
-      (github.event_name == 'pull_request' && contains(github.event.label.name, 'approved')) ||
+      (github.event_name == 'pull_request' && contains(github.event.label.name, 'approved') && needs.should-run.outputs.integer_test == 'true') ||
       github.event_name == 'workflow_dispatch'
     runs-on: ubuntu-latest
     outputs: