diff --git a/sentry_sdk/integrations/asgi.py b/sentry_sdk/integrations/asgi.py
index b2ecfe23b7..28165f1670 100644
--- a/sentry_sdk/integrations/asgi.py
+++ b/sentry_sdk/integrations/asgi.py
@@ -207,7 +207,11 @@ async def _run_app(self, scope, receive, send, asgi_version):
 
                     method = scope.get("method", "").upper()
                     should_trace = method in self.http_methods_to_capture
-                    with sentry_sdk.continue_trace(_get_headers(scope)):
+                    with (
+                        sentry_sdk.continue_trace(_get_headers(scope))
+                        if should_trace
+                        else nullcontext()
+                    ):
                         with (
                             sentry_sdk.start_span(
                                 op=(