diff --git a/airflow/task/task_runner/base_task_runner.py b/airflow/task/task_runner/base_task_runner.py
index 61d32b7f5a541..f70020de9b544 100644
--- a/airflow/task/task_runner/base_task_runner.py
+++ b/airflow/task/task_runner/base_task_runner.py
@@ -183,4 +183,9 @@ def on_finish(self) -> None:
                 subprocess.call(['sudo', 'rm', self._cfg_path], close_fds=True)
             else:
                 os.remove(self._cfg_path)
-        self._error_file.close()
+        try:
+            self._error_file.close()
+        except FileNotFoundError:
+            # The subprocess has deleted this file before we do
+            # so we ignore
+            pass