diff --git a/candle-core/src/layout.rs b/candle-core/src/layout.rs
index a0f3639b..ac5fca93 100644
--- a/candle-core/src/layout.rs
+++ b/candle-core/src/layout.rs
@@ -1,4 +1,4 @@
-use crate::Shape;
+use crate::{Error, Result, Shape};
 
 #[derive(Debug, PartialEq, Eq, Clone)]
 pub struct Layout {
@@ -44,4 +44,25 @@ impl Layout {
     pub fn is_fortran_contiguous(&self) -> bool {
         self.shape.is_fortran_contiguous(&self.stride)
     }
+
+    pub fn narrow(&self, dim: usize, start: usize, length: usize) -> Result<Self> {
+        let dims = self.shape().dims();
+        if dim >= dims.len() {
+            Err(Error::UnexpectedNumberOfDims {
+                expected: dim + 1,
+                got: dims.len(),
+                shape: self.shape().clone(),
+            })?
+        }
+        if start + length > dims[dim] {
+            todo!("add a proper error: out of bounds for narrow {dim} {start} {length} {dims:?}")
+        }
+        let mut dims = dims.to_vec();
+        dims[dim] = length;
+        Ok(Self {
+            shape: Shape::from(dims),
+            stride: self.stride.clone(),
+            start_offset: self.start_offset + self.stride[dim] * start,
+        })
+    }
 }
diff --git a/candle-core/src/storage.rs b/candle-core/src/storage.rs
index 3bcb0ff0..b7c94b46 100644
--- a/candle-core/src/storage.rs
+++ b/candle-core/src/storage.rs
@@ -227,16 +227,14 @@ impl Storage {
         &self,
         dst: &mut Self,
         dst_offset: usize,
-        src_shape: &Shape,
-        src_stride: &[usize],
-        src_offset: usize,
+        src_layout: &Layout,
     ) -> Result<()> {
         match (self, dst) {
             (Self::Cpu(src), Self::Cpu(dst)) => {
-                src.copy_strided_src(dst, dst_offset, src_shape, src_stride, src_offset)
+                src.copy_strided_src(dst, dst_offset, src_layout, src_offset)
             }
             (Self::Cuda(src), Self::Cuda(dst)) => {
-                Ok(src.copy_strided_src(dst, dst_offset, src_shape, src_stride, src_offset)?)
+                Ok(src.copy_strided_src(dst, dst_offset, src_layout, src_offset)?)
             }
             (lhs, rhs) => Err(Error::DeviceMismatchBinaryOp {
                 lhs: lhs.device().location(),
diff --git a/candle-core/src/tensor.rs b/candle-core/src/tensor.rs
index 51eeb9ae..c7862250 100644
--- a/candle-core/src/tensor.rs
+++ b/candle-core/src/tensor.rs
@@ -351,37 +351,20 @@ impl Tensor {
 
     /// Returns a new tensor that is a narrowed version of the input, the dimension `dim`
     /// ranges from `start` to `start + length`.
-    // TODO: Once we've refactored the shape and strides, make this return a view of the same data
-    // rather than copying.
     pub fn narrow(&self, dim: usize, start: usize, length: usize) -> Result<Self> {
-        let dims = self.shape().dims();
-        if dim >= dims.len() {
-            return Err(Error::UnexpectedNumberOfDims {
-                expected: dim + 1,
-                got: dims.len(),
-                shape: self.shape().clone(),
-            });
-        }
-        if start + length > dims[dim] {
-            todo!("add a proper error: out of bounds for narrow {dim} {start} {length} {dims:?}")
-        }
-        let mut dims = dims.to_vec();
-        dims[dim] = length;
-        let adjusted_shape = Shape::from(dims);
-        let mut storage = self.device().zeros(&adjusted_shape, self.dtype())?;
-        self.storage.copy_strided_src(
-            &mut storage,
-            /* dst_offset= */ 0,
-            &adjusted_shape,
-            &self.stride,
-            /* src_offest= */ self.stride[dim] * start,
-        )?;
         let op = if self.track_op() {
             Some(Op::Narrow(self.clone(), dim, start, length))
         } else {
             None
         };
-        Ok(from_storage(storage, adjusted_shape, op, false))
+        let tensor_ = Tensor_ {
+            id: TensorId::new(),
+            storage: self.storage.clone(),
+            layout: self.layout().narrow(dim, start, length)?,
+            op,
+            is_variable: false,
+        };
+        Ok(Tensor(Arc::new(tensor_)))
     }
 
     pub fn softmax(&self, dim: usize) -> Result<Self> {
@@ -875,7 +858,7 @@ impl Tensor {
             let shape = self.shape();
             let mut storage = self.device().zeros(shape, self.dtype())?;
             self.storage
-                .copy_strided_src(&mut storage, 0, &self.shape, &self.stride, 0)?;
+                .copy_strided_src(&mut storage, 0, self.layout())?;
             Ok(from_storage(
                 storage,
                 shape.clone(),
@@ -918,7 +901,7 @@ impl Tensor {
         } else {
             let mut storage = self.device().zeros(&shape, self.dtype())?;
             self.storage
-                .copy_strided_src(&mut storage, 0, &self.shape, &self.stride, 0)?;
+                .copy_strided_src(&mut storage, 0, self.layout())?;
             Ok(from_storage(storage, shape, op, false))
         }
     }
@@ -1055,7 +1038,7 @@ impl Tensor {
         for (arg, &offset) in args.iter().zip(offsets.iter()) {
             let arg = arg.as_ref();
             arg.storage
-                .copy_strided_src(&mut storage, offset, &arg.shape, &arg.stride, 0)?;
+                .copy_strided_src(&mut storage, offset, arg.layout())?;
         }
         Ok(from_storage(storage, shape, op, false))
     }