diff --git a/torchrl/data/tensor_specs.py b/torchrl/data/tensor_specs.py
index 9bbd068b434..60c1009990e 100644
--- a/torchrl/data/tensor_specs.py
+++ b/torchrl/data/tensor_specs.py
@@ -397,16 +397,6 @@ def high(self, value):
         self.device = value.device
         self._high = value.cpu()
 
-    @low.setter
-    def low(self, value):
-        self.device = value.device
-        self._low = value.cpu()
-
-    @high.setter
-    def high(self, value):
-        self.device = value.device
-        self._high = value.cpu()
-
     def __post_init__(self):
         self.low = self.low.clone()
         self.high = self.high.clone()
@@ -2269,9 +2259,10 @@ def to(self, dest: Union[torch.dtype, DEVICE_TYPING]) -> Bounded:
             dest_device = torch.device(dest)
         if dest_device == self.device and dest_dtype == self.dtype:
             return self
+        self.space.device = dest_device
         return Bounded(
-            low=self.space.low.to(dest),
-            high=self.space.high.to(dest),
+            low=self.space.low,
+            high=self.space.high,
             shape=self.shape,
             device=dest_device,
             dtype=dest_dtype,