diff --git a/test/test_specs.py b/test/test_specs.py
index 5f39aaadd34..d20dbdb71d5 100644
--- a/test/test_specs.py
+++ b/test/test_specs.py
@@ -1908,6 +1908,153 @@ def test_unboundeddiscrete(
         assert spec == torch.stack(spec.unbind(-1), -1)
 
 
+@pytest.mark.parametrize(
+    "device",
+    [torch.device("cpu")]
+    + [torch.device(f"cuda:{i}" for i in range(torch.cuda.device_count()))],
+)
+class TestTo:
+    @pytest.mark.parametrize("shape1", [(5, 4)])
+    def test_binary(self, shape1, device):
+        spec = BinaryDiscreteTensorSpec(
+            n=4, shape=shape1, device="cpu", dtype=torch.bool
+        )
+        assert spec.to(device).device == device
+
+    @pytest.mark.parametrize(
+        "shape1,mini,maxi",
+        [
+            [(10,), -torch.ones([]), torch.ones([])],
+            [None, -torch.ones([10]), torch.ones([])],
+            [None, -torch.ones([]), torch.ones([10])],
+            [(10,), -torch.ones([]), torch.ones([10])],
+            [(10,), -torch.ones([10]), torch.ones([])],
+            [(10,), -torch.ones([10]), torch.ones([10])],
+        ],
+    )
+    def test_bounded(self, shape1, mini, maxi, device):
+        spec = BoundedTensorSpec(
+            mini, maxi, shape=shape1, device="cpu", dtype=torch.bool
+        )
+        assert spec.to(device).device == device
+
+    def test_composite(self, device):
+        batch_size = (5,)
+        spec1 = BoundedTensorSpec(
+            -torch.ones([*batch_size, 10]),
+            torch.ones([*batch_size, 10]),
+            shape=(
+                *batch_size,
+                10,
+            ),
+            device="cpu",
+            dtype=torch.bool,
+        )
+        spec2 = BinaryDiscreteTensorSpec(
+            n=4, shape=(*batch_size, 4), device="cpu", dtype=torch.bool
+        )
+        spec3 = DiscreteTensorSpec(
+            n=4, shape=batch_size, device="cpu", dtype=torch.long
+        )
+        spec4 = MultiDiscreteTensorSpec(
+            nvec=(4, 5, 6), shape=(*batch_size, 3), device="cpu", dtype=torch.long
+        )
+        spec5 = MultiOneHotDiscreteTensorSpec(
+            nvec=(4, 5, 6), shape=(*batch_size, 15), device="cpu", dtype=torch.long
+        )
+        spec6 = OneHotDiscreteTensorSpec(
+            n=15, shape=(*batch_size, 15), device="cpu", dtype=torch.long
+        )
+        spec7 = UnboundedContinuousTensorSpec(
+            shape=(*batch_size, 9),
+            device="cpu",
+            dtype=torch.float64,
+        )
+        spec8 = UnboundedDiscreteTensorSpec(
+            shape=(*batch_size, 9),
+            device="cpu",
+            dtype=torch.long,
+        )
+        spec = CompositeSpec(
+            spec1=spec1,
+            spec2=spec2,
+            spec3=spec3,
+            spec4=spec4,
+            spec5=spec5,
+            spec6=spec6,
+            spec7=spec7,
+            spec8=spec8,
+            shape=batch_size,
+        )
+        assert spec.to(device).device == device
+
+    @pytest.mark.parametrize("shape1", [(5,), (5, 6)])
+    def test_discrete(
+        self,
+        shape1,
+        device,
+    ):
+        spec = DiscreteTensorSpec(n=4, shape=shape1, device="cpu", dtype=torch.long)
+        assert spec.to(device).device == device
+
+    @pytest.mark.parametrize("shape1", [(5,), (5, 6)])
+    def test_multidiscrete(self, shape1, device):
+        if shape1 is None:
+            shape1 = (3,)
+        else:
+            shape1 = (*shape1, 3)
+        spec = MultiDiscreteTensorSpec(
+            nvec=(4, 5, 6), shape=shape1, device="cpu", dtype=torch.long
+        )
+        assert spec.to(device).device == device
+
+    @pytest.mark.parametrize("shape1", [(5,), (5, 6)])
+    def test_multionehot(self, shape1, device):
+        if shape1 is None:
+            shape1 = (15,)
+        else:
+            shape1 = (*shape1, 15)
+        spec = MultiOneHotDiscreteTensorSpec(
+            nvec=(4, 5, 6), shape=shape1, device="cpu", dtype=torch.long
+        )
+        assert spec.to(device).device == device
+
+    def test_non_tensor(self, device):
+        spec = NonTensorSpec(shape=(3, 4), device="cpu")
+        assert spec.to(device).device == device
+
+    @pytest.mark.parametrize("shape1", [(5,), (5, 6)])
+    def test_onehot(self, shape1, device):
+        if shape1 is None:
+            shape1 = (15,)
+        else:
+            shape1 = (*shape1, 15)
+        spec = OneHotDiscreteTensorSpec(
+            n=15, shape=shape1, device="cpu", dtype=torch.long
+        )
+        assert spec.to(device).device == device
+
+    @pytest.mark.parametrize("shape1", [(5,), (5, 6)])
+    def test_unbounded(self, shape1, device):
+        if shape1 is None:
+            shape1 = (15,)
+        else:
+            shape1 = (*shape1, 15)
+        spec = UnboundedContinuousTensorSpec(
+            shape=shape1, device="cpu", dtype=torch.float64
+        )
+        assert spec.to(device).device == device
+
+    @pytest.mark.parametrize("shape1", [(5,), (5, 6)])
+    def test_unboundeddiscrete(self, shape1, device):
+        if shape1 is None:
+            shape1 = (15,)
+        else:
+            shape1 = (*shape1, 15)
+        spec = UnboundedDiscreteTensorSpec(shape=shape1, device="cpu", dtype=torch.long)
+        assert spec.to(device).device == device
+
+
 @pytest.mark.parametrize(
     "shape,stack_dim",
     [[(), 0], [(2,), 0], [(2,), 1], [(2, 3), 0], [(2, 3), 1], [(2, 3), 2]],
diff --git a/torchrl/data/tensor_specs.py b/torchrl/data/tensor_specs.py
index c56c3a00bd6..a6ccf0dbeaf 100644
--- a/torchrl/data/tensor_specs.py
+++ b/torchrl/data/tensor_specs.py
@@ -3369,7 +3369,7 @@ def to(self, dest: Union[torch.dtype, DEVICE_TYPING]) -> CompositeSpec:
             return self
         mask = self.mask.to(dest) if self.mask is not None else None
         return self.__class__(
-            n=self.nvec.to(dest),
+            nvec=self.nvec.to(dest),
             shape=None,
             device=dest_device,
             dtype=dest_dtype,