diff --git a/dpctl/tests/test_usm_ndarray_top_k.py b/dpctl/tests/test_usm_ndarray_top_k.py
index e6218d846e..a029db005c 100644
--- a/dpctl/tests/test_usm_ndarray_top_k.py
+++ b/dpctl/tests/test_usm_ndarray_top_k.py
@@ -20,6 +20,38 @@
 from dpctl.tests.helper import get_queue_or_skip, skip_if_dtype_not_supported
 
 
+def _expected_largest_inds(inp, n, shift, k):
+    "Computed expected top_k indices for mode='largest'"
+    assert k < n
+    ones_start_id = shift % (2 * n)
+
+    alloc_dev = inp.device
+
+    if ones_start_id < n:
+        expected_inds = dpt.arange(
+            ones_start_id, ones_start_id + k, dtype="i8", device=alloc_dev
+        )
+    else:
+        # wrap-around
+        ones_end_id = (ones_start_id + n) % (2 * n)
+        if ones_end_id >= k:
+            expected_inds = dpt.arange(k, dtype="i8", device=alloc_dev)
+        else:
+            expected_inds = dpt.concat(
+                (
+                    dpt.arange(ones_end_id, dtype="i8", device=alloc_dev),
+                    dpt.arange(
+                        ones_start_id,
+                        ones_start_id + k - ones_end_id,
+                        dtype="i8",
+                        device=alloc_dev,
+                    ),
+                )
+            )
+
+    return expected_inds
+
+
 @pytest.mark.parametrize(
     "dtype",
     [
@@ -38,25 +70,59 @@
         "c16",
     ],
 )
-@pytest.mark.parametrize("n", [33, 255, 511, 1021, 8193])
-def test_topk_1d_largest(dtype, n):
+@pytest.mark.parametrize("n", [33, 43, 255, 511, 1021, 8193])
+def test_top_k_1d_largest(dtype, n):
     q = get_queue_or_skip()
     skip_if_dtype_not_supported(dtype, q)
 
+    shift, k = 734, 5
     o = dpt.ones(n, dtype=dtype)
     z = dpt.zeros(n, dtype=dtype)
     oz = dpt.concat((o, z))
-    inp = dpt.roll(oz, 734)
-    k = 5
+    inp = dpt.roll(oz, shift)
+
+    expected_inds = _expected_largest_inds(oz, n, shift, k)
 
     s = dpt.top_k(inp, k, mode="largest")
     assert s.values.shape == (k,)
     assert s.values.dtype == inp.dtype
     assert s.indices.shape == (k,)
+    assert dpt.all(s.indices == expected_inds)
     assert dpt.all(s.values == dpt.ones(k, dtype=dtype)), s.values
     assert dpt.all(s.values == inp[s.indices]), s.indices
 
 
+def _expected_smallest_inds(inp, n, shift, k):
+    "Computed expected top_k indices for mode='smallest'"
+    assert k < n
+    zeros_start_id = (n + shift) % (2 * n)
+    zeros_end_id = (shift) % (2 * n)
+
+    alloc_dev = inp.device
+
+    if zeros_start_id < zeros_end_id:
+        expected_inds = dpt.arange(
+            zeros_start_id, zeros_start_id + k, dtype="i8", device=alloc_dev
+        )
+    else:
+        if zeros_end_id >= k:
+            expected_inds = dpt.arange(k, dtype="i8", device=alloc_dev)
+        else:
+            expected_inds = dpt.concat(
+                (
+                    dpt.arange(zeros_end_id, dtype="i8", device=alloc_dev),
+                    dpt.arange(
+                        zeros_start_id,
+                        zeros_start_id + k - zeros_end_id,
+                        dtype="i8",
+                        device=alloc_dev,
+                    ),
+                )
+            )
+
+    return expected_inds
+
+
 @pytest.mark.parametrize(
     "dtype",
     [
@@ -75,37 +141,70 @@ def test_topk_1d_largest(dtype, n):
         "c16",
     ],
 )
-@pytest.mark.parametrize("n", [33, 255, 257, 513, 1021, 8193])
-def test_topk_1d_smallest(dtype, n):
+@pytest.mark.parametrize("n", [37, 39, 61, 255, 257, 513, 1021, 8193])
+def test_top_k_1d_smallest(dtype, n):
     q = get_queue_or_skip()
     skip_if_dtype_not_supported(dtype, q)
 
+    shift, k = 734, 5
     o = dpt.ones(n, dtype=dtype)
     z = dpt.zeros(n, dtype=dtype)
     oz = dpt.concat((o, z))
-    inp = dpt.roll(oz, 734)
-    k = 5
+    inp = dpt.roll(oz, shift)
+
+    expected_inds = _expected_smallest_inds(oz, n, shift, k)
 
     s = dpt.top_k(inp, k, mode="smallest")
     assert s.values.shape == (k,)
     assert s.values.dtype == inp.dtype
     assert s.indices.shape == (k,)
+    assert dpt.all(s.indices == expected_inds)
     assert dpt.all(s.values == dpt.zeros(k, dtype=dtype)), s.values
     assert dpt.all(s.values == inp[s.indices]), s.indices
 
 
 # triage failing top k radix implementation on CPU
 # replicates from Python behavior of radix sort topk implementation
-@pytest.mark.parametrize("n", [33, 255, 511, 1021, 8193])
-def test_topk_largest_1d_radix_i1(n):
+@pytest.mark.parametrize(
+    "n",
+    [
+        33,
+        34,
+        35,
+        36,
+        37,
+        38,
+        39,
+        40,
+        41,
+        42,
+        43,
+        44,
+        45,
+        46,
+        47,
+        48,
+        49,
+        50,
+        61,
+        137,
+        255,
+        511,
+        1021,
+        8193,
+    ],
+)
+def test_top_k_largest_1d_radix_i1(n):
     get_queue_or_skip()
     dt = "i1"
 
+    shift, k = 734, 5
     o = dpt.ones(n, dtype=dt)
     z = dpt.zeros(n, dtype=dt)
     oz = dpt.concat((o, z))
-    inp = dpt.roll(oz, 734)
-    k = 5
+    inp = dpt.roll(oz, shift)
+
+    expected_inds = _expected_largest_inds(oz, n, shift, k)
 
     sorted_v = dpt.sort(inp, descending=True, kind="radixsort")
     argsorted = dpt.argsort(inp, descending=True, kind="radixsort")
@@ -116,4 +215,6 @@ def test_topk_largest_1d_radix_i1(n):
     topk_inds = dpt.copy(argsorted[:k])
 
     assert dpt.all(topk_vals == dpt.ones(k, dtype=dt))
+    assert dpt.all(topk_inds == expected_inds)
+
     assert dpt.all(topk_vals == inp[topk_inds]), topk_inds