diff --git a/aiogram/dispatcher/dispatcher.py b/aiogram/dispatcher/dispatcher.py
index f2beeac6..2c78bace 100644
--- a/aiogram/dispatcher/dispatcher.py
+++ b/aiogram/dispatcher/dispatcher.py
@@ -394,9 +394,11 @@ class Dispatcher(Router):
                 await asyncio.gather(*coro_list)
             finally:
                 loggers.dispatcher.info("Polling stopped")
-                await self.emit_shutdown(**workflow_data)
-                for bot in bots:  # Close sessions
-                    await bot.session.close()
+                try:
+                    await self.emit_shutdown(**workflow_data)
+                finally:
+                    for bot in bots:  # Close sessions
+                        await bot.session.close()
 
     def run_polling(
         self,