diff --git a/sentry_sdk/integrations/fastapi.py b/sentry_sdk/integrations/fastapi.py
index 80f0cd390c..a448559c09 100644
--- a/sentry_sdk/integrations/fastapi.py
+++ b/sentry_sdk/integrations/fastapi.py
@@ -1,6 +1,5 @@
 import sys
 from copy import deepcopy
-from functools import wraps
 from typing import TYPE_CHECKING
 
 import sentry_sdk
@@ -25,6 +24,7 @@
         StarletteIntegration,
         StarletteRequestExtractor,
         _get_cached_request_body_attribute,
+        _wrap_sync_handler,
     )
 except DidNotEnable:
     raise DidNotEnable("Starlette is not installed or incompatible")
@@ -163,27 +163,8 @@ def _sentry_get_request_handler(*args: "Any", **kwargs: "Any") -> "Any":
             dependant
             and dependant.call is not None
             and not iscoroutinefunction(dependant.call)
-            # FastAPI >= 0.137 calls get_request_handler() on every request
-            # (router-tree traversal) rather than once at registration. Guard
-            # against accumulating _sentry_call wrappers on the shared
-            # dependant object, which would cause a RecursionError after ~987
-            # requests as the call chain grows past Python's recursion limit.
-            and not getattr(dependant.call, "_sentry_is_patched", False)
         ):
-            old_call = dependant.call
-
-            @wraps(old_call)
-            def _sentry_call(*args: "Any", **kwargs: "Any") -> "Any":
-                current_span = sentry_sdk.get_current_span()
-
-                if type(current_span) is Span:
-                    segment = current_span._segment
-                    segment._update_active_thread()
-
-                return old_call(*args, **kwargs)
-
-            _sentry_call._sentry_is_patched = True  # type: ignore[attr-defined]
-            dependant.call = _sentry_call
+            dependant.call = _wrap_sync_handler(dependant.call)
 
         old_app = old_get_request_handler(*args, **kwargs)
 
diff --git a/sentry_sdk/integrations/starlette.py b/sentry_sdk/integrations/starlette.py
index c55303478e..a1fcefb040 100644
--- a/sentry_sdk/integrations/starlette.py
+++ b/sentry_sdk/integrations/starlette.py
@@ -545,6 +545,25 @@ def event_processor(event: "Event", hint: "Dict[str, Any]") -> "Event":
                     )
 
 
+def _update_active_thread() -> None:
+    span = sentry_sdk.get_current_span()
+    if type(span) is Span:
+        span._segment._update_active_thread()
+
+
+def _wrap_sync_handler(handler: "Callable[..., Any]") -> "Callable[..., Any]":
+    if getattr(handler, "_sentry_patched", False):
+        return handler
+
+    @functools.wraps(handler)
+    def _sentry_sync_handler(*args: "Any", **kwargs: "Any") -> "Any":
+        _update_active_thread()
+        return handler(*args, **kwargs)
+
+    _sentry_sync_handler._sentry_patched = True  # type: ignore[attr-defined]
+    return _sentry_sync_handler
+
+
 def patch_request_response() -> None:
     old_request_response = starlette.routing.request_response
 
@@ -569,10 +588,7 @@ def _sentry_sync_func(*args: "Any", **kwargs: "Any") -> "Any":
                 if integration is None:
                     return old_func(*args, **kwargs)
 
-                current_span = sentry_sdk.get_current_span()
-
-                if type(current_span) is Span:
-                    current_span._segment._update_active_thread()
+                _update_active_thread()
 
                 sentry_scope = sentry_sdk.get_isolation_scope()