diff --git a/cosmos/operators/local.py b/cosmos/operators/local.py
index f9e185085..335ce5e07 100644
--- a/cosmos/operators/local.py
+++ b/cosmos/operators/local.py
@@ -9,6 +9,7 @@
 from typing import Any, Callable, Literal, Sequence, TYPE_CHECKING
 
 import airflow
+import jinja2
 import yaml
 from airflow import DAG
 from airflow.compat.functools import cached_property
@@ -281,7 +282,7 @@ def calculate_openlineage_events_completes(
         try:
             events = openlineage_processor.parse()
             self.openlineage_events_completes = events.completes
-        except (FileNotFoundError, NotImplementedError, ValueError, KeyError):
+        except (FileNotFoundError, NotImplementedError, ValueError, KeyError, jinja2.exceptions.UndefinedError):
             logger.debug("Unable to parse OpenLineage events", stack_info=True)
 
     def get_datasets(self, source: Literal["inputs", "outputs"]) -> list[Dataset]: