diff --git a/connectors/es/sink.py b/connectors/es/sink.py
index b54cf977e..8be41dec1 100644
--- a/connectors/es/sink.py
+++ b/connectors/es/sink.py
@@ -189,10 +189,13 @@ async def run(self):
         except asyncio.CancelledError:
             self._logger.info("Task is canceled, stop Sink...")
             raise
-        except ForceCanceledError:
-            self._logger.error(
-                f"Sink did not stop within {CANCELATION_TIMEOUT} seconds of cancelation, force-canceling the task."
-            )
+        except Exception as e:
+            if isinstance(e, ForceCanceledError) or self._canceled:
+                self._logger.warning(
+                    f"Sink did not stop within {CANCELATION_TIMEOUT} seconds of cancelation, force-canceling the task."
+                )
+                return
+            raise
 
     async def _run(self):
         """Creates batches of bulk calls given a queue of items.
@@ -369,11 +372,13 @@ async def run(self, generator, job_type):
         except asyncio.CancelledError:
             self._logger.info("Task is canceled, stop Extractor...")
             raise
-        except ForceCanceledError:
-            self._logger.error(
-                f"Extractor did not stop within {CANCELATION_TIMEOUT} seconds of cancelation, force-canceling the task."
-            )
         except Exception as e:
+            if isinstance(e, ForceCanceledError) or self._canceled:
+                self._logger.warning(
+                    f"Extractor did not stop within {CANCELATION_TIMEOUT} seconds of cancelation, force-canceling the task."
+                )
+                return
+
             self._logger.critical("Document extractor failed", exc_info=True)
             await self.put_doc("FETCH_ERROR")
             self.fetch_error = e
diff --git a/tests/test_sink.py b/tests/test_sink.py
index 979abdb97..01ede3c4e 100644
--- a/tests/test_sink.py
+++ b/tests/test_sink.py
@@ -1168,6 +1168,25 @@ async def test_force_canceled_extractor_put_doc():
         queue.put.assert_not_awaited()
 
 
+@pytest.mark.asyncio
+async def test_force_canceled_extractor_with_other_errors(patch_logger):
+    queue = Mock()
+    queue.put = AsyncMock()
+    extractor = Extractor(
+        None,
+        queue,
+        INDEX,
+    )
+    generator = AsyncMock(side_effect=Exception("a non-ForceCanceledError"))
+
+    extractor.force_cancel()
+    # no error thrown
+    await extractor.run(generator, JobType.FULL)
+    patch_logger.assert_present(
+        "Extractor did not stop within 5 seconds of cancelation, force-canceling the task."
+    )
+
+
 @pytest.mark.asyncio
 async def test_sink_fetch_doc():
     expected_doc = {"id": 123}
@@ -1209,6 +1228,28 @@ async def test_force_canceled_sink_fetch_doc():
         queue.get.assert_not_awaited()
 
 
+@pytest.mark.asyncio
+async def test_force_canceled_sink_with_other_errors(patch_logger):
+    queue = Mock()
+    queue.get = AsyncMock(side_effect=Exception("a non-ForceCanceledError"))
+    sink = Sink(
+        None,
+        queue,
+        chunk_size=0,
+        pipeline={"name": "pipeline"},
+        chunk_mem_size=0,
+        max_concurrency=0,
+        max_retries=3,
+    )
+
+    sink.force_cancel()
+    # no error thrown
+    await sink.run()
+    patch_logger.assert_present(
+        "Sink did not stop within 5 seconds of cancelation, force-canceling the task."
+    )
+
+
 @pytest.mark.parametrize(
     "extractor_task_done, sink_task_done, force_cancel",
     [