diff --git a/sentry_sdk/integrations/asgi.py b/sentry_sdk/integrations/asgi.py
index 3569336aae..e5bf461cfe 100644
--- a/sentry_sdk/integrations/asgi.py
+++ b/sentry_sdk/integrations/asgi.py
@@ -145,6 +145,22 @@ def __init__(
         else:
             self.__call__ = self._run_asgi2
 
+    def _capture_lifespan_exception(self, exc):
+        # type: (Exception) -> None
+        """Capture exceptions raise in application lifespan handlers.
+
+        The separate function is needed to support overriding in derived integrations that use different catching mechanisms.
+        """
+        return _capture_exception(exc=exc, mechanism_type=self.mechanism_type)
+
+    def _capture_request_exception(self, exc):
+        # type: (Exception) -> None
+        """Capture exceptions raised in incoming request handlers.
+
+        The separate function is needed to support overriding in derived integrations that use different catching mechanisms.
+        """
+        return _capture_exception(exc=exc, mechanism_type=self.mechanism_type)
+
     def _run_asgi2(self, scope):
         # type: (Any) -> Any
         async def inner(receive, send):
@@ -158,7 +174,7 @@ async def _run_asgi3(self, scope, receive, send):
         return await self._run_app(scope, receive, send, asgi_version=3)
 
     async def _run_app(self, scope, receive, send, asgi_version):
-        # type: (Any, Any, Any, Any, int) -> Any
+        # type: (Any, Any, Any, int) -> Any
         is_recursive_asgi_middleware = _asgi_middleware_applied.get(False)
         is_lifespan = scope["type"] == "lifespan"
         if is_recursive_asgi_middleware or is_lifespan:
@@ -169,7 +185,7 @@ async def _run_app(self, scope, receive, send, asgi_version):
                     return await self.app(scope, receive, send)
 
             except Exception as exc:
-                _capture_exception(exc, mechanism_type=self.mechanism_type)
+                self._capture_lifespan_exception(exc)
                 raise exc from None
 
         _asgi_middleware_applied.set(True)
@@ -255,7 +271,7 @@ async def _sentry_wrapped_send(event):
                                     scope, receive, _sentry_wrapped_send
                                 )
                         except Exception as exc:
-                            _capture_exception(exc, mechanism_type=self.mechanism_type)
+                            self._capture_request_exception(exc)
                             raise exc from None
         finally:
             _asgi_middleware_applied.set(False)
diff --git a/sentry_sdk/integrations/litestar.py b/sentry_sdk/integrations/litestar.py
index 5f0b32b04e..e186222689 100644
--- a/sentry_sdk/integrations/litestar.py
+++ b/sentry_sdk/integrations/litestar.py
@@ -87,6 +87,15 @@ def __init__(self, app, span_origin=LitestarIntegration.origin):
             span_origin=span_origin,
         )
 
+    def _capture_request_exception(self, exc):
+        # type: (Exception) -> None
+        """Avoid catching exceptions from request handlers.
+
+        Those exceptions are already han in Litestar.after_exception handler.
+        We still catch exceptions from application lifespan handlers.
+        """
+        pass
+
 
 def patch_app_init():
     # type: () -> None
diff --git a/tests/integrations/litestar/test_litestar.py b/tests/integrations/litestar/test_litestar.py
index 4f642479e4..e7979c24c1 100644
--- a/tests/integrations/litestar/test_litestar.py
+++ b/tests/integrations/litestar/test_litestar.py
@@ -402,7 +402,7 @@ async def __call__(self, scope, receive, send):
 
 
 @parametrize_test_configurable_status_codes
-def test_configurable_status_codes(
+def test_configurable_status_codes_handler(
     sentry_init,
     capture_events,
     failed_request_status_codes,
@@ -427,3 +427,36 @@ async def error() -> None:
     client.get("/error")
 
     assert len(events) == int(expected_error)
+
+
+@parametrize_test_configurable_status_codes
+def test_configurable_status_codes_middleware(
+    sentry_init,
+    capture_events,
+    failed_request_status_codes,
+    status_code,
+    expected_error,
+):
+    integration_kwargs = (
+        {"failed_request_status_codes": failed_request_status_codes}
+        if failed_request_status_codes is not None
+        else {}
+    )
+    sentry_init(integrations=[LitestarIntegration(**integration_kwargs)])
+
+    events = capture_events()
+
+    def create_raising_middleware(app):
+        async def raising_middleware(scope, receive, send):
+            raise HTTPException(status_code=status_code)
+
+        return raising_middleware
+
+    @get("/error")
+    async def error() -> None: ...
+
+    app = Litestar([error], middleware=[create_raising_middleware])
+    client = TestClient(app)
+    client.get("/error")
+
+    assert len(events) == int(expected_error)