diff --git a/src/litdata/streaming/serializers.py b/src/litdata/streaming/serializers.py
index 41c58179..77d5c2bf 100644
--- a/src/litdata/streaming/serializers.py
+++ b/src/litdata/streaming/serializers.py
@@ -202,7 +202,7 @@ def deserialize(self, data: bytes) -> torch.Tensor:
         return torch.reshape(tensor, shape)
 
     def can_serialize(self, item: torch.Tensor) -> bool:
-        return isinstance(item, torch.Tensor) and type(item) == torch.Tensor and len(item.shape) > 1
+        return isinstance(item, torch.Tensor) and type(item) == torch.Tensor and len(item.shape) != 1
 
 
 class NoHeaderTensorSerializer(Serializer):
diff --git a/tests/streaming/test_serializer.py b/tests/streaming/test_serializer.py
index c3998e90..6228e52f 100644
--- a/tests/streaming/test_serializer.py
+++ b/tests/streaming/test_serializer.py
@@ -256,6 +256,14 @@ def test_deserialize_empty_tensor():
     assert torch.equal(t, new_t)
 
 
+def test_deserialize_scalar_tensor():
+    serializer = TensorSerializer()
+    t = torch.tensor(0)
+    data, _ = serializer.serialize(t)
+    new_t = serializer.deserialize(data)
+    assert torch.equal(t, new_t)
+
+
 def test_deserialize_empty_no_header_tensor():
     serializer = NoHeaderTensorSerializer()
     t = torch.ones((0,)).int()
@@ -271,6 +279,15 @@ def test_deserialize_empty_no_header_tensor():
     assert torch.equal(t, new_t)
 
 
+def test_can_serialize_tensor():
+    serializer = TensorSerializer()
+    # Check that the TensorSerializer can serialize scalar valued tensors as well as higher order (>1) Tensors
+    assert serializer.can_serialize(torch.tensor(0))
+    assert serializer.can_serialize(torch.tensor([[0, 0]]))
+    # Check that it does not serialize Tensors of order 1, those are treated by the dedicated NoHeaderTensorSerializer
+    assert not serializer.can_serialize(torch.tensor([0, 0]))
+
+
 @pytest.mark.skipif(not _TIFFFILE_AVAILABLE, reason="Requires: ['tifffile']")
 def test_tiff_serializer():
     serializer = TIFFSerializer()