diff --git a/dpctl/tensor/_reshape.py b/dpctl/tensor/_reshape.py
index 1f057c636a..575c79c115 100644
--- a/dpctl/tensor/_reshape.py
+++ b/dpctl/tensor/_reshape.py
@@ -18,7 +18,6 @@
 import numpy as np
 
 import dpctl.tensor as dpt
-from dpctl.tensor._copy_utils import _copy_from_usm_ndarray_to_usm_ndarray
 from dpctl.tensor._tensor_impl import (
     _copy_usm_ndarray_for_reshape,
     _ravel_multi_index,
@@ -155,32 +154,37 @@ def reshape(X, /, shape, *, order="C", copy=None):
             "Reshaping the array requires a copy, but no copying was "
             "requested by using copy=False"
         )
+    copy_q = X.sycl_queue
     if copy_required or (copy is True):
         # must perform a copy
         flat_res = dpt.usm_ndarray(
             (X.size,),
             dtype=X.dtype,
             buffer=X.usm_type,
-            buffer_ctor_kwargs={"queue": X.sycl_queue},
+            buffer_ctor_kwargs={"queue": copy_q},
         )
         if order == "C":
             hev, _ = _copy_usm_ndarray_for_reshape(
-                src=X, dst=flat_res, sycl_queue=X.sycl_queue
+                src=X, dst=flat_res, sycl_queue=copy_q
             )
-            hev.wait()
         else:
-            for i in range(X.size):
-                _copy_from_usm_ndarray_to_usm_ndarray(
-                    flat_res[i], X[np.unravel_index(i, X.shape, order=order)]
-                )
+            X_t = dpt.permute_dims(X, range(X.ndim - 1, -1, -1))
+            hev, _ = _copy_usm_ndarray_for_reshape(
+                src=X_t, dst=flat_res, sycl_queue=copy_q
+            )
+        hev.wait()
         return dpt.usm_ndarray(
             tuple(shape), dtype=X.dtype, buffer=flat_res, order=order
         )
     # can form a view
+    if (len(shape) == X.ndim) and all(
+        s1 == s2 for s1, s2 in zip(shape, X.shape)
+    ):
+        return X
     return dpt.usm_ndarray(
         shape,
         dtype=X.dtype,
         buffer=X,
         strides=tuple(newsts),
-        offset=X.__sycl_usm_array_interface__.get("offset", 0),
+        offset=X._element_offset,
     )
diff --git a/dpctl/tests/test_usm_ndarray_ctor.py b/dpctl/tests/test_usm_ndarray_ctor.py
index a0f2414fce..6d10c63f03 100644
--- a/dpctl/tests/test_usm_ndarray_ctor.py
+++ b/dpctl/tests/test_usm_ndarray_ctor.py
@@ -1454,6 +1454,33 @@ def test_reshape():
     assert A4.shape == requested_shape
 
 
+def test_reshape_orderF():
+    try:
+        a = dpt.arange(6 * 3 * 4, dtype="i4")
+    except dpctl.SyclDeviceCreationError:
+        pytest.skip("No SYCL devices available")
+    b = dpt.reshape(a, (6, 2, 6))
+    c = dpt.reshape(b, (9, 8), order="F")
+    assert c.flags.f_contiguous
+    assert c._pointer != b._pointer
+    assert b._pointer == a._pointer
+
+    a_np = np.arange(6 * 3 * 4, dtype="i4")
+    b_np = np.reshape(a_np, (6, 2, 6))
+    c_np = np.reshape(b_np, (9, 8), order="F")
+    assert np.array_equal(c_np, dpt.asnumpy(c))
+
+
+def test_reshape_noop():
+    """Per gh-1664"""
+    try:
+        a = dpt.ones((2, 1))
+    except dpctl.SyclDeviceCreationError:
+        pytest.skip("No SYCL devices available")
+    b = dpt.reshape(a, (2, 1))
+    assert b is a
+
+
 def test_reshape_zero_size():
     try:
         a = dpt.empty((0,))