diff --git a/distributed/shuffle/tests/test_shuffle.py b/distributed/shuffle/tests/test_shuffle.py
index fc78ef1fda1..cac4f43ab84 100644
--- a/distributed/shuffle/tests/test_shuffle.py
+++ b/distributed/shuffle/tests/test_shuffle.py
@@ -2165,3 +2165,48 @@ async def test_set_index_p2p(c, s, *workers):
     await c.close()
     await asyncio.gather(*[check_worker_cleanup(w) for w in workers])
     await check_scheduler_cleanup(s)
+
+
+def test_shuffle_p2p_with_existing_index():
+    df = pd.DataFrame({"a": np.random.randint(0, 3, 20)}, index=np.random.random(20))
+    ddf = dd.from_pandas(
+        df,
+        npartitions=4,
+    )
+    with Client() as c:
+        ddf = ddf.shuffle("a", shuffle="p2p")
+        result = c.compute(ddf, sync=True)
+        dd.assert_eq(result, df)
+
+
+def test_set_index_p2p_with_existing_index():
+    df = pd.DataFrame({"a": np.random.randint(0, 3, 20)}, index=np.random.random(20))
+    ddf = dd.from_pandas(
+        df,
+        npartitions=4,
+    )
+    with Client() as c:
+        ddf = ddf.set_index("a", shuffle="p2p")
+        result = c.compute(ddf, sync=True)
+        dd.assert_eq(result, df.set_index("a"))
+
+
+def test_sort_values_p2p_with_existing_divisions():
+    "Regression test for #8165"
+    df = pd.DataFrame(
+        {"a": np.random.randint(0, 3, 20), "b": np.random.randint(0, 3, 20)}
+    )
+    ddf = dd.from_pandas(
+        df,
+        npartitions=4,
+    )
+    with Client() as c:
+        with dask.config.set({"dataframe.shuffle.method": "p2p"}):
+            ddf = ddf.set_index("a").sort_values("b")
+            result = c.compute(ddf, sync=True)
+        dd.assert_eq(
+            result,
+            df.set_index("a").sort_values("b"),
+            check_index=False,
+            sort_results=False,
+        )