diff --git a/distributed/shuffle/_core.py b/distributed/shuffle/_core.py
index 48510dfd41..4f799f5072 100644
--- a/distributed/shuffle/_core.py
+++ b/distributed/shuffle/_core.py
@@ -203,18 +203,37 @@ async def barrier(self, run_ids: Sequence[int]) -> int:
         return self.run_id
 
     async def _send(
-        self, address: str, shards: list[tuple[_T_partition_id, Any]] | bytes
+        self,
+        address: str,
+        input_partitions: list[_T_partition_id],
+        output_partitions: list[_T_partition_id],
+        locs: list[_T_partition_id],
+        shards: list[Any] | bytes,
     ) -> OKMessage | ErrorMessage:
         self.raise_if_closed()
         return await self.rpc(address).shuffle_receive(
+            input_partitions=input_partitions,
+            output_partitions=output_partitions,
+            locs=locs,
             data=to_serialize(shards),
             shuffle_id=self.id,
             run_id=self.run_id,
         )
 
     async def send(
-        self, address: str, shards: list[tuple[_T_partition_id, Any]]
+        self, address: str, sharded: list[tuple[_T_partition_id, Any]]
     ) -> OKMessage | ErrorMessage:
+        ipids = []
+        opids = []
+        locs = []
+        shards = []
+        for input_partition, inshards in sharded:
+            for output_partition, shard in inshards:
+                loc, data = shard
+                ipids.append(input_partition)
+                opids.append(output_partition)
+                locs.append(loc)
+                shards.append(data)
         if _mean_shard_size(shards) < 65536:
             # Don't send buffers individually over the tcp comms.
             # Instead, merge everything into an opaque bytes blob, send it all at once,
@@ -226,7 +245,7 @@ async def send(
             shards_or_bytes = shards
 
         def _send() -> Coroutine[Any, Any, OKMessage | ErrorMessage]:
-            return self._send(address, shards_or_bytes)
+            return self._send(address, ipids, opids, locs, shards_or_bytes)
 
         return await retry(
             _send,
@@ -308,13 +327,17 @@ def _read_from_disk(self, id: NDIndex) -> list[Any]:  # TODO: Typing
         return self._disk_buffer.read("_".join(str(i) for i in id))
 
     async def receive(
-        self, data: list[tuple[_T_partition_id, Any]] | bytes
+        self,
+        input_partitions: list[_T_partition_id],
+        output_partitions: list[_T_partition_type],
+        locs: list[_T_partition_id],
+        data: list[Any] | bytes,
     ) -> OKMessage | ErrorMessage:
         try:
             if isinstance(data, bytes):
                 # Unpack opaque blob. See send()
-                data = cast(list[tuple[_T_partition_id, Any]], pickle.loads(data))
-            await self._receive(data)
+                data = cast(list[Any], pickle.loads(data))
+            await self._receive(input_partitions, output_partitions, locs, data)
             return {"status": "OK"}
         except P2PConsistencyError as e:
             return error_message(e)
@@ -336,7 +359,9 @@ def _get_assigned_worker(self, i: _T_partition_id) -> str:
         """Get the address of the worker assigned to the output partition"""
 
     @abc.abstractmethod
-    async def _receive(self, data: list[tuple[_T_partition_id, Any]]) -> None:
+    async def _receive(
+        self, input_partitions: list[_T_partition_id], data: list[Any]
+    ) -> None:
         """Receive shards belonging to output partitions of this shuffle run"""
 
     def add_partition(
diff --git a/distributed/shuffle/_rechunk.py b/distributed/shuffle/_rechunk.py
index b33e90730b..1f78da3c36 100644
--- a/distributed/shuffle/_rechunk.py
+++ b/distributed/shuffle/_rechunk.py
@@ -658,20 +658,23 @@ def __init__(
 
     async def _receive(
         self,
-        data: list[tuple[NDIndex, list[tuple[NDIndex, tuple[NDIndex, np.ndarray]]]]],
+        input_partitions: list[NDIndex],
+        output_partitions: list[NDIndex],
+        locs: list[NDIndex],
+        data: list[np.ndarray],
     ) -> None:
         self.raise_if_closed()
 
         # Repartition shards and filter out already received ones
         shards = defaultdict(list)
-        for d in data:
-            id1, payload = d
-            if id1 in self.received:
+        for ipid, opid, loc, dat in zip(input_partitions, output_partitions, locs, data):
+            if ipid in self.received:
                 continue
-            self.received.add(id1)
-            for id2, shard in payload:
-                shards[id2].append(shard)
-            self.total_recvd += sizeof(d)
+            shards[opid].append((loc, dat))
+            self.total_recvd += sizeof(dat)
+        self.received.update(input_partitions)
+        del input_partitions
+        del output_partitions
         del data
         if not shards:
             return
diff --git a/distributed/shuffle/_worker_plugin.py b/distributed/shuffle/_worker_plugin.py
index 57d2cfe369..d59e660128 100644
--- a/distributed/shuffle/_worker_plugin.py
+++ b/distributed/shuffle/_worker_plugin.py
@@ -311,6 +311,9 @@ async def shuffle_receive(
         self,
         shuffle_id: ShuffleId,
         run_id: int,
+        input_partitions,
+        output_partitions,
+        locs,
         data: list[tuple[int, Any]] | bytes,
     ) -> OKMessage | ErrorMessage:
         """
@@ -319,7 +322,7 @@ async def shuffle_receive(
         """
         try:
             shuffle_run = await self._get_shuffle_run(shuffle_id, run_id)
-            return await shuffle_run.receive(data)
+            return await shuffle_run.receive(input_partitions, output_partitions, locs, data)
         except P2PConsistencyError as e:
             return error_message(e)