diff --git a/dspy/clients/lm.py b/dspy/clients/lm.py
index 66cd7ea2cb..931540fa7e 100644
--- a/dspy/clients/lm.py
+++ b/dspy/clients/lm.py
@@ -123,6 +123,7 @@ def __call__(self, prompt=None, messages=None, **kwargs):
             timestamp=datetime.now().isoformat(),
             uuid=str(uuid.uuid4()),
             model=self.model,
+            response_model=response["model"],
             model_type=self.model_type,
         )
         self.history.append(entry)