diff --git a/airflow/providers/google/cloud/triggers/dataproc.py b/airflow/providers/google/cloud/triggers/dataproc.py
index 427bf8a09615c..939e5bbcac716 100644
--- a/airflow/providers/google/cloud/triggers/dataproc.py
+++ b/airflow/providers/google/cloud/triggers/dataproc.py
@@ -22,16 +22,22 @@
 import asyncio
 import re
 import time
-from typing import Any, AsyncIterator, Sequence
+from typing import TYPE_CHECKING, Any, AsyncIterator, Sequence
 
 from google.api_core.exceptions import NotFound
 from google.cloud.dataproc_v1 import Batch, Cluster, ClusterStatus, JobStatus
 
 from airflow.exceptions import AirflowException
+from airflow.models.taskinstance import TaskInstance
 from airflow.providers.google.cloud.hooks.dataproc import DataprocAsyncHook, DataprocHook
 from airflow.providers.google.cloud.utils.dataproc import DataprocOperationType
 from airflow.providers.google.common.hooks.base_google import PROVIDE_PROJECT_ID
 from airflow.triggers.base import BaseTrigger, TriggerEvent
+from airflow.utils.session import provide_session
+from airflow.utils.state import TaskInstanceState
+
+if TYPE_CHECKING:
+    from sqlalchemy.orm.session import Session
 
 
 class DataprocBaseTrigger(BaseTrigger):
@@ -178,6 +184,36 @@ def serialize(self) -> tuple[str, dict[str, Any]]:
             },
         )
 
+    @provide_session
+    def get_task_instance(self, session: Session) -> TaskInstance:
+        query = session.query(TaskInstance).filter(
+            TaskInstance.dag_id == self.task_instance.dag_id,
+            TaskInstance.task_id == self.task_instance.task_id,
+            TaskInstance.run_id == self.task_instance.run_id,
+            TaskInstance.map_index == self.task_instance.map_index,
+        )
+        task_instance = query.one_or_none()
+        if task_instance is None:
+            raise AirflowException(
+                "TaskInstance with dag_id: %s,task_id: %s, run_id: %s and map_index: %s is not found.",
+                self.task_instance.dag_id,
+                self.task_instance.task_id,
+                self.task_instance.run_id,
+                self.task_instance.map_index,
+            )
+        return task_instance
+
+    def safe_to_cancel(self) -> bool:
+        """
+        Whether it is safe to cancel the external job which is being executed by this trigger.
+
+        This is to avoid the case that `asyncio.CancelledError` is called because the trigger itself is stopped.
+        Because in those cases, we should NOT cancel the external job.
+        """
+        # Database query is needed to get the latest state of the task instance.
+        task_instance = self.get_task_instance()  # type: ignore[call-arg]
+        return task_instance.state != TaskInstanceState.DEFERRED
+
     async def run(self) -> AsyncIterator[TriggerEvent]:
         try:
             while True:
@@ -207,7 +243,11 @@ async def run(self) -> AsyncIterator[TriggerEvent]:
                 await asyncio.sleep(self.polling_interval_seconds)
         except asyncio.CancelledError:
             try:
-                if self.delete_on_error:
+                if self.delete_on_error and self.safe_to_cancel():
+                    self.log.info(
+                        "Deleting the cluster as it is safe to delete as the airflow TaskInstance is not in "
+                        "deferred state."
+                    )
                     self.log.info("Deleting cluster %s.", self.cluster_name)
                     # The synchronous hook is utilized to delete the cluster when a task is cancelled.
                     # This is because the asynchronous hook deletion is not awaited when the trigger task
diff --git a/tests/providers/google/cloud/triggers/test_dataproc.py b/tests/providers/google/cloud/triggers/test_dataproc.py
index f41fc3a280283..08294a5ac59d2 100644
--- a/tests/providers/google/cloud/triggers/test_dataproc.py
+++ b/tests/providers/google/cloud/triggers/test_dataproc.py
@@ -18,7 +18,7 @@
 
 import asyncio
 import logging
-from asyncio import Future
+from asyncio import CancelledError, Future, sleep
 from unittest import mock
 
 import pytest
@@ -60,6 +60,7 @@ def cluster_trigger():
         gcp_conn_id=TEST_GCP_CONN_ID,
         impersonation_chain=None,
         polling_interval_seconds=TEST_POLL_INTERVAL,
+        delete_on_error=True,
     )
 
 
@@ -328,6 +329,38 @@ async def test_delete_when_error_occurred(self, mock_delete_cluster, cluster_tri
 
         mock_delete_cluster.assert_not_called()
 
+    @pytest.mark.asyncio
+    @mock.patch("airflow.providers.google.cloud.triggers.dataproc.DataprocClusterTrigger.get_async_hook")
+    @mock.patch("airflow.providers.google.cloud.triggers.dataproc.DataprocClusterTrigger.get_sync_hook")
+    @mock.patch("airflow.providers.google.cloud.triggers.dataproc.DataprocClusterTrigger.safe_to_cancel")
+    async def test_cluster_trigger_run_cancelled_not_safe_to_cancel(
+        self, mock_safe_to_cancel, mock_get_sync_hook, mock_get_async_hook, cluster_trigger
+    ):
+        """Test the trigger's cancellation behavior when it is not safe to cancel."""
+        mock_safe_to_cancel.return_value = False
+        cluster = Cluster(status=ClusterStatus(state=ClusterStatus.State.RUNNING))
+        future_cluster = asyncio.Future()
+        future_cluster.set_result(cluster)
+        mock_get_async_hook.return_value.get_cluster.return_value = future_cluster
+
+        mock_delete_cluster = mock.MagicMock()
+        mock_get_sync_hook.return_value.delete_cluster = mock_delete_cluster
+
+        cluster_trigger.delete_on_error = True
+
+        async_gen = cluster_trigger.run()
+        task = asyncio.create_task(async_gen.__anext__())
+        await sleep(0)
+        task.cancel()
+
+        try:
+            await task
+        except CancelledError:
+            pass
+
+        assert mock_delete_cluster.call_count == 0
+        mock_delete_cluster.assert_not_called()
+
 
 @pytest.mark.db_test
 class TestDataprocBatchTrigger: