diff --git a/sentry_sdk/integrations/openai_agents/patches/models.py b/sentry_sdk/integrations/openai_agents/patches/models.py
index feaa0c33d2..f13ad8c862 100644
--- a/sentry_sdk/integrations/openai_agents/patches/models.py
+++ b/sentry_sdk/integrations/openai_agents/patches/models.py
@@ -32,7 +32,10 @@ def wrapped_get_model(cls, agent, run_config):
         # type: (agents.Runner, agents.Agent, agents.RunConfig) -> agents.Model
 
         model = original_get_model(agent, run_config)
-        original_get_response = model.get_response
+
+        # check if we have already patched this model
+        if getattr(model, "_sentry_wrapped_get_model", False):
+            return model
 
         # Wrap _fetch_response if it exists (for OpenAI models) to capture raw response model
         if hasattr(model, "_fetch_response"):
@@ -48,6 +51,8 @@ async def wrapped_fetch_response(*args, **kwargs):
 
             model._fetch_response = wrapped_fetch_response
 
+        original_get_response = model.get_response
+
         @wraps(original_get_response)
         async def wrapped_get_response(*args, **kwargs):
             # type: (*Any, **Any) -> Any
@@ -70,6 +75,9 @@ async def wrapped_get_response(*args, **kwargs):
 
         model.get_response = wrapped_get_response
 
+        # set marker that we have already patched this model
+        model._sentry_wrapped_get_model = True
+
         return model
 
     return wrapped_get_model