diff --git a/tensordict/tensordict.py b/tensordict/tensordict.py
index bcd54d433..cb520178e 100644
--- a/tensordict/tensordict.py
+++ b/tensordict/tensordict.py
@@ -36,14 +36,7 @@
 import numpy as np
 import torch
 
-from tensordict.utils import (
-    _get_item,
-    _is_shared,
-    _ndimension,
-    _requires_grad,
-    _set_item,
-    _shape,
-)
+from tensordict.utils import _get_item, _is_shared, _requires_grad, _set_item, _shape
 from torch import Tensor
 from torch.utils._pytree import tree_map
 
@@ -824,12 +817,6 @@ def _process_input(
                     f"={_shape(tensor)[: self.batch_dims]} with tensor {tensor}"
                 )
 
-        # minimum ndimension is 1
-        if _ndimension(tensor) == self.ndimension() and not isinstance(
-            tensor, (TensorDictBase, KeyedJaggedTensor)
-        ):
-            tensor = tensor.unsqueeze(-1)
-
         return tensor
 
     @abc.abstractmethod
@@ -1325,17 +1312,7 @@ def to(
     def _check_new_batch_size(self, new_size: torch.Size):
         n = len(new_size)
         for key, meta_tensor in self.items_meta():
-            if not meta_tensor.is_kjt() and not meta_tensor.is_tensordict():
-                c1 = meta_tensor.ndimension() <= n
-            else:
-                c1 = meta_tensor.ndimension() < n
-            if c1 or (meta_tensor.shape[:n] != new_size):
-                if meta_tensor.ndimension() == n and meta_tensor.shape == new_size:
-                    raise RuntimeError(
-                        "TensorDict requires tensors that have at least one more "
-                        f'dimension than the batch_size. The tensor "{key}" has shape '
-                        f"{meta_tensor.shape} which is the same as the new size."
-                    )
+            if meta_tensor.shape[:n] != new_size:
                 raise RuntimeError(
                     f"the tensor {key} has shape {meta_tensor.shape} which "
                     f"is incompatible with the new shape {new_size}."
diff --git a/test/test_tensordict.py b/test/test_tensordict.py
index 4c567a4de..1fcbcd918 100644
--- a/test/test_tensordict.py
+++ b/test/test_tensordict.py
@@ -357,14 +357,14 @@ def test_permute(device):
 
     td2 = torch.permute(td1, dims=(-1, -3, -2))
     assert td2.shape == torch.Size((6, 4, 5))
-    assert td2["c"].shape == torch.Size((6, 4, 5, 1))
+    assert td2["c"].shape == torch.Size((6, 4, 5))
 
     td2 = torch.permute(td1, dims=(0, 1, 2))
     assert td2["a"].shape == torch.Size((4, 5, 6, 9))
 
     t = TensorDict({"a": torch.randn(3, 4, 1)}, [3, 4])
     torch.permute(t, dims=(1, 0)).set("b", torch.randn(4, 3))
-    assert t["b"].shape == torch.Size((3, 4, 1))
+    assert t["b"].shape == torch.Size((3, 4))
 
     torch.permute(t, dims=(1, 0)).fill_("a", 0.0)
     assert torch.sum(t["a"]) == torch.Tensor([0])
@@ -2290,10 +2290,8 @@ def test_batchsize_reset():
     # test index
     td[torch.tensor([1, 2])]
     with pytest.raises(
-        RuntimeError,
-        match=re.escape(
-            "The shape torch.Size([3]) is incompatible with the index (slice(None, None, None), 0)."
-        ),
+        IndexError,
+        match=re.escape("too many indices for tensor of dimension 1"),
     ):
         td[:, 0]
 
@@ -2301,14 +2299,6 @@ def test_batchsize_reset():
     td = TensorDict(
         {"a": torch.randn(3, 4, 5, 6), "b": torch.randn(3, 4, 5)}, batch_size=[3, 4]
     )
-    with pytest.raises(
-        RuntimeError,
-        match=re.escape(
-            "TensorDict requires tensors that have at least one more dimension than the batch_size"
-        ),
-    ):
-        td.batch_size = torch.Size([3, 4, 5])
-    del td["b"]
     td.batch_size = torch.Size([3, 4, 5])
 
     td.set("c", torch.randn(3, 4, 5, 6))
@@ -2467,7 +2457,7 @@ def test_create_on_device():
     a = torch.randn(2, 3)
     viewedtd.set("a", a)
     assert viewedtd.get("a").device == device
-    assert (a.unsqueeze(-1).to(device) == viewedtd.get("a")).all()
+    assert (a.to(device) == viewedtd.get("a")).all()
 
 
 def _remote_process(worker_id, command_pipe_child, command_pipe_parent, tensordict):
@@ -3082,7 +3072,7 @@ def test_memory_lock(method):
 class TestMakeTensorDict:
     def test_create_tensordict(self):
         tensordict = make_tensordict(a=torch.zeros(3, 4))
-        assert (tensordict["a"] == torch.zeros(3, 4, 1)).all()
+        assert (tensordict["a"] == torch.zeros(3, 4)).all()
 
     def test_tensordict_batch_size(self):
         tensordict = make_tensordict()
@@ -3337,7 +3327,7 @@ def test_lazy_stacked_insert(dim, index, device):
     assert lstd.batch_size == torch.Size(bs)
     assert set(lstd.keys()) == {"a"}
 
-    t = torch.zeros(*bs, 1, device=device)
+    t = torch.zeros(*bs, device=device)
 
     if dim == 0:
         t[index] = 1
@@ -3375,7 +3365,7 @@ def test_lazy_stacked_append(dim, device):
     assert lstd.batch_size == torch.Size(bs)
     assert set(lstd.keys()) == {"a"}
 
-    t = torch.zeros(*bs, 1, device=device)
+    t = torch.zeros(*bs, device=device)
 
     if dim == 0:
         t[-1] = 1