diff --git a/tests/ops/api/v1/endpoints/test_dataset_test_endpoints.py b/tests/ops/api/v1/endpoints/test_dataset_test_endpoints.py
index c5056aec61..bbb2154766 100644
--- a/tests/ops/api/v1/endpoints/test_dataset_test_endpoints.py
+++ b/tests/ops/api/v1/endpoints/test_dataset_test_endpoints.py
@@ -194,7 +194,7 @@ def test_dataset_reachability(
         assert set(response.json().keys()) == {"reachable", "details"}
 
 
-@pytest.mark.integration_external
+@pytest.mark.integration
 @pytest.mark.integration_postgres
 class TestDatasetTest:
     @pytest.fixture(scope="function")
diff --git a/tests/ops/api/v1/endpoints/test_privacy_request_endpoints.py b/tests/ops/api/v1/endpoints/test_privacy_request_endpoints.py
index 5ddbcd8f60..21007687ec 100644
--- a/tests/ops/api/v1/endpoints/test_privacy_request_endpoints.py
+++ b/tests/ops/api/v1/endpoints/test_privacy_request_endpoints.py
@@ -8364,7 +8364,7 @@ def test_get_access_results_contributor_but_disabled(
         assert response.status_code == 403
 
 
-@pytest.mark.integration_external
+@pytest.mark.integration
 @pytest.mark.integration_postgres
 class TestPrivacyRequestFilteredResults:
     @pytest.fixture(scope="function")
diff --git a/tests/ops/service/dataset/test_dataset_service.py b/tests/ops/service/dataset/test_dataset_service.py
index c1e56f8d01..ca433671cf 100644
--- a/tests/ops/service/dataset/test_dataset_service.py
+++ b/tests/ops/service/dataset/test_dataset_service.py
@@ -111,9 +111,13 @@ def test_get_identities_and_references(
         assert required_identities == expected_required_identities
 
 
-@pytest.mark.integration_external
+@pytest.mark.integration
 @pytest.mark.integration_postgres
 class TestRunTestAccessRequest:
+    """
+    Run test requests against the postgres_example database
+    """
+
     @pytest.mark.usefixtures("postgres_integration_db")
     def test_run_test_access_request(
         self,