diff --git a/sdk/storage/azure-storage-file/azure/storage/file/aio/directory_client_async.py b/sdk/storage/azure-storage-file/azure/storage/file/aio/directory_client_async.py
index 524b30ea28d3..059d42d9f33e 100644
--- a/sdk/storage/azure-storage-file/azure/storage/file/aio/directory_client_async.py
+++ b/sdk/storage/azure-storage-file/azure/storage/file/aio/directory_client_async.py
@@ -265,12 +265,9 @@ async def close_handles(
             timeout=None, # type: Optional[int]
             **kwargs # type: Any
         ):
-        # type: (...) -> Any
+        # type: (...) -> int
         """Close open file handles.
 
-        This operation may not finish with a single call, so a long-running poller
-        is returned that can be used to wait until the operation is complete.
-
         :param handle:
             Optionally, a specific handle to close. The default value is '*'
             which will attempt to close all open handles.
@@ -280,8 +277,8 @@ async def close_handles(
             its files, its subdirectories and their files. Default value is False.
         :param int timeout:
             The timeout parameter is expressed in seconds.
-        :returns: A long-running poller to get operation status.
-        :rtype: ~azure.core.polling.LROPoller
+        :returns: The number of file handles that were closed.
+        :rtype: int
         """
         try:
             handle_id = handle.id # type: ignore
@@ -301,7 +298,7 @@ async def close_handles(
             process_storage_error(error)
 
         polling_method = CloseHandlesAsync(self._config.copy_polling_interval)
-        return async_poller(
+        return await async_poller(
             command,
             start_close,
             None,
diff --git a/sdk/storage/azure-storage-file/azure/storage/file/aio/file_client_async.py b/sdk/storage/azure-storage-file/azure/storage/file/aio/file_client_async.py
index c5493ca350d1..29bd299d3dcf 100644
--- a/sdk/storage/azure-storage-file/azure/storage/file/aio/file_client_async.py
+++ b/sdk/storage/azure-storage-file/azure/storage/file/aio/file_client_async.py
@@ -876,20 +876,17 @@ async def close_handles(
         timeout=None,  # type: Optional[int]
         **kwargs  # type: Any
     ):
-        # type: (...) -> Any
+        # type: (...) -> int
         """Close open file handles.
 
-        This operation may not finish with a single call, so a long-running poller
-        is returned that can be used to wait until the operation is complete.
-
         :param handle:
             Optionally, a specific handle to close. The default value is '*'
             which will attempt to close all open handles.
         :type handle: str or ~azure.storage.file.Handle
         :param int timeout:
             The timeout parameter is expressed in seconds.
-        :returns: A long-running poller to get operation status.
-        :rtype: ~azure.core.polling.LROPoller
+        :returns: The number of file handles that were closed.
+        :rtype: int
         """
         try:
             handle_id = handle.id  # type: ignore
@@ -909,4 +906,4 @@ async def close_handles(
             process_storage_error(error)
 
         polling_method = CloseHandlesAsync(self._config.copy_polling_interval)
-        return async_poller(command, start_close, None, polling_method)
+        return await async_poller(command, start_close, None, polling_method)