diff --git a/cosmos/operators/local.py b/cosmos/operators/local.py
index 4888583bb..6fcc4293a 100644
--- a/cosmos/operators/local.py
+++ b/cosmos/operators/local.py
@@ -40,9 +40,7 @@
     FullOutputSubprocessHook,
     FullOutputSubprocessResult,
 )
-from cosmos.dbt.parser.output import (
-    extract_log_issues,
-)
+from cosmos.dbt.parser.output import extract_log_issues
 
 logger = get_logger(__name__)
 
@@ -350,14 +348,15 @@ def get_openlineage_facets_on_complete(self, task_instance: TaskInstance) -> Ope
             job_facets=job_facets,
         )
 
-    def build_and_run_cmd(self, context: Context, cmd_flags: list[str] | None = None) -> None:
+    def build_and_run_cmd(self, context: Context, cmd_flags: list[str] | None = None) -> FullOutputSubprocessResult:
         dbt_cmd, env = self.build_cmd(context=context, cmd_flags=cmd_flags)
         dbt_cmd = dbt_cmd or []
         result = self.run_command(cmd=dbt_cmd, env=env, context=context)
-        logger.info(result.output)
+        return result
 
     def execute(self, context: Context) -> None:
-        self.build_and_run_cmd(context=context)
+        result = self.build_and_run_cmd(context=context)
+        logger.info(result.output)
 
     def on_kill(self) -> None:
         if self.cancel_query_on_kill:
@@ -461,24 +460,10 @@ def __init__(
         self.base_cmd = ["test"]
         self.on_warning_callback = on_warning_callback
 
-    def _should_run_tests(
-        self,
-        result: FullOutputSubprocessResult,
-        no_tests_message: str = "Nothing to do",
-    ) -> bool:
-        """
-        Check if any tests are defined to run in the DAG. If tests are defined
-        and on_warning_callback is set, then function returns True.
-
-        :param result: The output from the build and run command.
-        """
-
-        return self.on_warning_callback is not None and no_tests_message not in result.output
-
     def _handle_warnings(self, result: FullOutputSubprocessResult, context: Context) -> None:
         """
-         Handles warnings by extracting log issues, creating additional context, and calling the
-         on_warning_callback with the updated context.
+        Handles warnings by extracting log issues, creating additional context, and calling the
+        on_warning_callback with the updated context.
 
         :param result: The result object from the build and run command.
         :param context: The original airflow context in which the build and run command was executed.
@@ -489,8 +474,15 @@ def _handle_warnings(self, result: FullOutputSubprocessResult, context: Context)
         warning_context["test_names"] = test_names
         warning_context["test_results"] = test_results
 
+        self.on_warning_callback(warning_context)
+
+    def execute(self, context: Context) -> None:
+        result = self.build_and_run_cmd(context=context)
+
         if self.on_warning_callback:
-            self.on_warning_callback(warning_context)
+            self._handle_warnings(result, context)
+
+        logger.info(result.output)
 
 
 class DbtRunOperationLocalOperator(DbtLocalBaseOperator):
diff --git a/tests/operators/test_local.py b/tests/operators/test_local.py
index 94b0f8e27..36462c0b6 100644
--- a/tests/operators/test_local.py
+++ b/tests/operators/test_local.py
@@ -302,3 +302,40 @@ def test_operator_execute_without_flags(mock_build_and_run_cmd, operator_class):
     )
     task.execute(context={})
     mock_build_and_run_cmd.assert_called_once_with(context={})
+
+
+@pytest.mark.integration
+def test_dbt_test_local_operator_on_warning_callback():
+    on_warning_callback_mock = MagicMock()
+
+    with DAG("my-test-dag", start_date=datetime(2022, 1, 1)) as dag:
+        test_operator = DbtTestLocalOperator(
+            profile_config=real_profile_config,
+            project_dir=DBT_PROJ_DIR,
+            task_id="my-task",
+            install_deps=True,
+            dbt_cmd_flags=["--models", "stg_customers"],
+            on_warning_callback=on_warning_callback_mock,
+        )
+        test_operator
+
+    run_test_dag(dag)
+    on_warning_callback_mock.assert_called_once()
+
+
+@pytest.mark.integration
+def test_on_warning_callback_not_triggered():
+    on_warning_callback_mock = MagicMock()
+
+    with DAG("my-test-dag", start_date=datetime(2022, 1, 1)) as dag:
+        test_operator = DbtTestLocalOperator(
+            profile_config=real_profile_config,
+            project_dir=DBT_PROJ_DIR,
+            install_deps=True,
+            dbt_cmd_flags=["--models", "stg_customers"],
+            task_id="my-task",
+        )
+        test_operator
+
+    run_test_dag(dag)
+    on_warning_callback_mock.assert_not_called()