diff --git a/tensordict/nn/cudagraphs.py b/tensordict/nn/cudagraphs.py
index 9a555ebab..ecaef85b6 100644
--- a/tensordict/nn/cudagraphs.py
+++ b/tensordict/nn/cudagraphs.py
@@ -210,7 +210,20 @@ def _call(
                 tensordict_out: TensorDictBase | None = None,
                 **kwargs: Any,
             ) -> Any:
-                if self.counter < self._warmup:
+                if self.counter >= self._warmup:
+                    self._tensordict.update_(tensordict, non_blocking=True)
+                    self.graph.replay()
+                    if self._out_matches_in:
+                        result = tensordict.update(
+                            self._out, keys_to_update=self._selected_keys
+                        )
+                    elif tensordict_out is not None:
+                        result = tensordict_out.update(self._out, clone=True)
+                    else:
+                        result = self._out.clone() if self._out is not None else None
+                    return result
+
+                if not self._has_cuda or self.counter < self._warmup - 1:
                     if self._has_cuda:
                         torch.cuda.synchronize()
                     with self._warmup_stream_cm:
@@ -223,7 +236,7 @@ def _call(
                     if self._has_cuda:
                         torch.cuda.synchronize()
                     return out
-                elif self.counter == self._warmup - 1:
+                else:
                     if tensordict.device is None:
                         tensordict.apply(self._check_device_and_grad, filter_empty=True)
                     elif tensordict.device.type != "cuda":
@@ -270,23 +283,30 @@ def check_tensor_id(name, t0, t1):
                                 filter_empty=True,
                             )
                     return this_out
-                else:
-                    self._tensordict.update_(tensordict, non_blocking=True)
-                    self.graph.replay()
-                    if self._out_matches_in:
-                        result = tensordict.update(
-                            self._out, keys_to_update=self._selected_keys
-                        )
-                    elif tensordict_out is not None:
-                        result = tensordict_out.update(self._out, clone=True)
-                    else:
-                        result = self._out.clone() if self._out is not None else None
-                    return result
 
         else:
 
             def _call(*args: torch.Tensor, **kwargs: torch.Tensor):
-                if self.counter < self._warmup:
+                if self.counter >= self._warmup:
+                    tree_map(
+                        lambda x, y: x.copy_(y, non_blocking=True),
+                        (self._args, self._kwargs),
+                        (args, kwargs),
+                    )
+                    self.graph.replay()
+                    if self._return_unchanged == "clone":
+                        result = self._out.clone()
+                    elif self._return_unchanged:
+                        result = self._out
+                    else:
+                        result = tree_map(
+                            lambda x: x.detach().clone() if x is not None else x,
+                            self._out,
+                        )
+                    # torch.cuda.synchronize()
+                    return result
+
+                if not self._has_cuda or self.counter < self._warmup - 1:
                     if self._has_cuda:
                         torch.cuda.synchronize()
                     with self._warmup_stream_cm:
@@ -295,8 +315,7 @@ def _call(*args: torch.Tensor, **kwargs: torch.Tensor):
                         torch.cuda.synchronize()
                     self.counter += self._has_cuda
                     return out
-                elif self.counter == self._warmup - 1:
-
+                else:
                     self._args, self._kwargs = tree_map(
                         self._check_device_and_clone, (args, kwargs)
                     )
@@ -332,24 +351,6 @@ def _call(*args: torch.Tensor, **kwargs: torch.Tensor):
                     else:
                         self._return_unchanged = False
                     return this_out
-                else:
-                    tree_map(
-                        lambda x, y: x.copy_(y, non_blocking=True),
-                        (self._args, self._kwargs),
-                        (args, kwargs),
-                    )
-                    self.graph.replay()
-                    if self._return_unchanged == "clone":
-                        result = self._out.clone()
-                    elif self._return_unchanged:
-                        result = self._out
-                    else:
-                        result = tree_map(
-                            lambda x: x.detach().clone() if x is not None else x,
-                            self._out,
-                        )
-                    # torch.cuda.synchronize()
-                    return result
 
         _call_func = functools.wraps(self.module)(_call)
         self._call_func = _call_func