diff --git a/sentry_sdk/integrations/openai_agents/patches/models.py b/sentry_sdk/integrations/openai_agents/patches/models.py
index feaa0c33d2..8431ff3237 100644
--- a/sentry_sdk/integrations/openai_agents/patches/models.py
+++ b/sentry_sdk/integrations/openai_agents/patches/models.py
@@ -1,3 +1,4 @@
+import copy
 from functools import wraps
 
 from sentry_sdk.integrations import DidNotEnable
@@ -31,8 +32,9 @@ def _create_get_model_wrapper(original_get_model):
     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
+        # copy the model to double patching its methods. We use copy on purpose here (instead of deepcopy)
+        # because we only patch its direct methods, all underlying data can remain unchanged.
+        model = copy.copy(original_get_model(agent, run_config))
 
         # Wrap _fetch_response if it exists (for OpenAI models) to capture raw response model
         if hasattr(model, "_fetch_response"):
@@ -48,6 +50,8 @@ 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