diff --git a/distributed/shuffle/_arrow.py b/distributed/shuffle/_arrow.py
index 2c3b40158b6..eec104573ba 100644
--- a/distributed/shuffle/_arrow.py
+++ b/distributed/shuffle/_arrow.py
@@ -49,6 +49,8 @@ def convert_partition(data: bytes, meta: pd.DataFrame) -> pd.DataFrame:
     import pandas as pd
     import pyarrow as pa
 
+    from dask.dataframe.dispatch import from_pyarrow_table_dispatch
+
     file = BytesIO(data)
     end = len(data)
     shards = []
@@ -67,7 +69,9 @@ def default_types_mapper(pyarrow_dtype: pa.DataType) -> object:
             return pd.StringDtype("pyarrow")
         return None
 
-    df = table.to_pandas(self_destruct=True, types_mapper=default_types_mapper)
+    df = from_pyarrow_table_dispatch(
+        meta, table, self_destruct=True, types_mapper=default_types_mapper
+    )
     return df.astype(meta.dtypes, copy=False)
 
 
diff --git a/distributed/shuffle/_shuffle.py b/distributed/shuffle/_shuffle.py
index 4a4f4601ea1..1e0ad120f46 100644
--- a/distributed/shuffle/_shuffle.py
+++ b/distributed/shuffle/_shuffle.py
@@ -97,7 +97,7 @@ def rearrange_by_column_p2p(
     column: str,
     npartitions: int | None = None,
 ) -> DataFrame:
-    from dask.dataframe import DataFrame
+    from dask.dataframe.core import new_dd_object
 
     meta = df._meta
     check_dtype_support(meta)
@@ -119,7 +119,7 @@ def rearrange_by_column_p2p(
         name_input=df._name,
         meta_input=meta,
     )
-    return DataFrame(
+    return new_dd_object(
         HighLevelGraph.from_collections(name, layer, [df]),
         name,
         meta,
@@ -273,8 +273,13 @@ def split_by_worker(
     Split data into many arrow batches, partitioned by destination worker
     """
     import numpy as np
-    import pyarrow as pa
 
+    from dask.dataframe.dispatch import to_pyarrow_table_dispatch
+
+    # (cudf support) Avoid pd.Series
+    constructor = df._constructor_sliced
+    assert isinstance(constructor, type)
+    worker_for = constructor(worker_for)
     df = df.merge(
         right=worker_for.cat.codes.rename("_worker"),
         left_on=column,
@@ -287,7 +292,7 @@ def split_by_worker(
     # assert len(df) == nrows  # Not true if some outputs aren't wanted
     # FIXME: If we do not preserve the index something is corrupting the
     # bytestream such that it cannot be deserialized anymore
-    t = pa.Table.from_pandas(df, preserve_index=True)
+    t = to_pyarrow_table_dispatch(df, preserve_index=True)
     t = t.sort_by("_worker")
     codes = np.asarray(t["_worker"])
     t = t.drop(["_worker"])
diff --git a/distributed/shuffle/tests/test_shuffle.py b/distributed/shuffle/tests/test_shuffle.py
index 8b6c00a2116..f70b3b84d9c 100644
--- a/distributed/shuffle/tests/test_shuffle.py
+++ b/distributed/shuffle/tests/test_shuffle.py
@@ -121,6 +121,40 @@ async def test_minimal_version(c, s, a, b):
         await c.compute(dd.shuffle.shuffle(df, "x", shuffle="p2p"))
 
 
+@pytest.mark.gpu
+@pytest.mark.filterwarnings(
+    "ignore:Ignoring the following arguments to `from_pyarrow_table_dispatch`."
+)
+@gen_cluster(client=True)
+async def test_basic_cudf_support(c, s, a, b):
+    cudf = pytest.importorskip("cudf")
+    pytest.importorskip("dask_cudf")
+
+    try:
+        from dask.dataframe.dispatch import to_pyarrow_table_dispatch
+
+        to_pyarrow_table_dispatch(cudf.DataFrame())
+    except TypeError:
+        pytest.skip(reason="Newer version of dask_cudf is required.")
+
+    df = dask.datasets.timeseries(
+        start="2000-01-01",
+        end="2000-01-10",
+        dtypes={"x": float, "y": float},
+        freq="10 s",
+    ).to_backend("cudf")
+    out = dd.shuffle.shuffle(df, "x", shuffle="p2p")
+    assert out.npartitions == df.npartitions
+    x, y = c.compute([df.x.size, out.x.size])
+    x = await x
+    y = await y
+    assert x == y
+
+    await check_worker_cleanup(a)
+    await check_worker_cleanup(b)
+    await check_scheduler_cleanup(s)
+
+
 def get_shuffle_run_from_worker(shuffle_id: ShuffleId, worker: Worker) -> ShuffleRun:
     plugin = worker.plugins["shuffle"]
     assert isinstance(plugin, ShuffleWorkerPlugin)