diff --git a/cosmos/airflow/graph.py b/cosmos/airflow/graph.py
index c36db366e..ee03e17f9 100644
--- a/cosmos/airflow/graph.py
+++ b/cosmos/airflow/graph.py
@@ -26,7 +26,7 @@
 from cosmos.core.graph.entities import Task as TaskMetadata
 from cosmos.dbt.graph import DbtNode
 from cosmos.log import get_logger
-from cosmos.settings import enable_setup_async_task, enable_teardown_task
+from cosmos.settings import enable_setup_async_task, enable_teardown_async_task
 
 logger = get_logger(__name__)
 
@@ -627,7 +627,7 @@ def build_airflow_graph(
     create_airflow_task_dependencies(nodes, tasks_map)
     if enable_setup_async_task:
         _add_dbt_setup_async_task(dag, execution_mode, task_args, tasks_map, task_group, render_config=render_config)
-    if enable_teardown_task:
+    if enable_teardown_async_task:
         _add_teardown_task(dag, execution_mode, task_args, tasks_map, task_group, render_config=render_config)
     return tasks_map
 
diff --git a/cosmos/operators/local.py b/cosmos/operators/local.py
index 5f1068675..45b546d6a 100644
--- a/cosmos/operators/local.py
+++ b/cosmos/operators/local.py
@@ -37,7 +37,7 @@
 from cosmos.exceptions import AirflowCompatibilityError, CosmosDbtRunError, CosmosValueError
 from cosmos.settings import (
     enable_setup_async_task,
-    enable_teardown_task,
+    enable_teardown_async_task,
     remote_target_path,
     remote_target_path_conn_id,
 )
@@ -477,7 +477,7 @@ def _handle_post_execution(self, tmp_project_dir: str, context: Context) -> None
             self.callback(tmp_project_dir, **self.callback_args)
 
     def _handle_async_execution(self, tmp_project_dir: str, context: Context, async_context: dict[str, Any]) -> None:
-        if async_context.get("teardown_task") and enable_teardown_task:
+        if async_context.get("teardown_task") and enable_teardown_async_task:
             self._delete_sql_files(Path(tmp_project_dir), "run")
             return
 
diff --git a/cosmos/settings.py b/cosmos/settings.py
index 60401805d..05c05f46f 100644
--- a/cosmos/settings.py
+++ b/cosmos/settings.py
@@ -39,7 +39,7 @@
 
 # Related to async operators
 enable_setup_async_task = conf.getboolean("cosmos", "enable_setup_async_task", fallback=True)
-enable_teardown_task = conf.getboolean("cosmos", "", fallback=True)
+enable_teardown_async_task = conf.getboolean("cosmos", "enable_teardown_async_task", fallback=True)
 
 AIRFLOW_IO_AVAILABLE = Version(airflow_version) >= Version("2.8.0")