diff --git a/airflow/dag_processing/bundles/base.py b/airflow/dag_processing/bundles/base.py
index 34f3dd65c8b4e..05a9fd500caa3 100644
--- a/airflow/dag_processing/bundles/base.py
+++ b/airflow/dag_processing/bundles/base.py
@@ -70,7 +70,7 @@ def path(self) -> Path:
         """
 
     @abstractmethod
-    def get_current_version(self) -> str:
+    def get_current_version(self) -> str | None:
         """
         Retrieve a string that represents the version of the DAG bundle.
 
diff --git a/airflow/dag_processing/bundles/local.py b/airflow/dag_processing/bundles/local.py
index dcbac96911159..94369934184ad 100644
--- a/airflow/dag_processing/bundles/local.py
+++ b/airflow/dag_processing/bundles/local.py
@@ -20,7 +20,6 @@
 from pathlib import Path
 
 from airflow.dag_processing.bundles.base import BaseDagBundle
-from airflow.exceptions import AirflowException
 
 
 class LocalDagBundle(BaseDagBundle):
@@ -36,8 +35,8 @@ def __init__(self, *, local_folder: str, **kwargs) -> None:
         super().__init__(**kwargs)
         self._path = Path(local_folder)
 
-    def get_current_version(self) -> str:
-        raise AirflowException("Not versioned!")
+    def get_current_version(self) -> None:
+        return None
 
     def refresh(self) -> None:
         """Nothing to refresh - it's just a local directory."""
diff --git a/tests/dag_processing/test_dag_bundles.py b/tests/dag_processing/test_dag_bundles.py
index 1a911a52eff0b..d3746c01a63ee 100644
--- a/tests/dag_processing/test_dag_bundles.py
+++ b/tests/dag_processing/test_dag_bundles.py
@@ -47,13 +47,12 @@ def test_path(self):
         bundle = LocalDagBundle(name="test", local_folder="/hello")
         assert bundle.path == Path("/hello")
 
-    def test_does_not_support_versioning(self):
+    def test_none_for_version(self):
         assert LocalDagBundle.supports_versioning is False
 
         bundle = LocalDagBundle(name="test", local_folder="/hello")
 
-        with pytest.raises(AirflowException):
-            bundle.get_current_version()
+        assert bundle.get_current_version() is None
 
 
 @pytest.fixture