diff --git a/tests/v1/kv_connector/unit/offloading_connector/test_scheduler.py b/tests/v1/kv_connector/unit/offloading_connector/test_scheduler.py
index e71c3dbf18d4..523d8fc28732 100644
--- a/tests/v1/kv_connector/unit/offloading_connector/test_scheduler.py
+++ b/tests/v1/kv_connector/unit/offloading_connector/test_scheduler.py
@@ -462,6 +462,41 @@ def test_partial_lookup_returns_exact_boundary_and_group_load_keys():
     assert req_status.partial_tail_boundary is None
 
 
+def test_partial_tail_load_keeps_tail_chunk_storable():
+    """The chunk of a loaded partial tail is not a hit chunk.
+
+    Geometry: 16 tokens per chunk, a load of 28 tokens. Chunk 0 is a full hit,
+    and chunk 1 holds the partial tail (tokens 16-27). The request computes the
+    rest of chunk 1, so the full-attention group must store it when it is full.
+    If the store starts at chunk 2, chunk 1 is never stored, and every later
+    lookup of this prefix stops at the same partial tail. The Mamba group keeps
+    the skip: its block for chunk 1 holds the state at token 28.
+    """
+    scheduler = _make_partial_tail_scheduler()
+    request = _make_partial_tail_request(scheduler)
+    req_status = scheduler._req_status["req"]
+    req_status.num_locally_computed_tokens = 0
+    req_status.update_offload_keys()
+
+    scheduler.manager.lookup.return_value = LookupResult.HIT
+    assert scheduler._lookup(req_status) == 28
+
+    scheduler.update_state_after_alloc(
+        request,
+        KVCacheBlocks(
+            (
+                [KVCacheBlock(31), KVCacheBlock(32)],
+                [KVCacheBlock(0, is_null=True), KVCacheBlock(41)],
+            )
+        ),
+        num_external_tokens=28,
+    )
+
+    full_state, mamba_state = req_status.group_states
+    assert full_state.next_stored_chunk_idx == 1
+    assert mamba_state.next_stored_chunk_idx == 2
+
+
 def test_lookup_cap_stops_at_authoritative_prefix_boundary():
     scheduler = _make_partial_tail_scheduler()
     request = _make_partial_tail_request(scheduler)
diff --git a/vllm/distributed/kv_transfer/kv_connector/v1/offloading/scheduler.py b/vllm/distributed/kv_transfer/kv_connector/v1/offloading/scheduler.py
index 806267dcf3dd..edb06e2e752a 100644
--- a/vllm/distributed/kv_transfer/kv_connector/v1/offloading/scheduler.py
+++ b/vllm/distributed/kv_transfer/kv_connector/v1/offloading/scheduler.py
@@ -1249,9 +1249,15 @@ def update_state_after_alloc(
 
             # Skip prefix-hit chunks for block-level policy; for
             # request-level, next_stored_chunk_idx stays at 0 so all
-            # chunks (including hits) are offloaded.
+            # chunks (including hits) are offloaded. In a full-attention group
+            # the chunk of a partial tail is not a hit: the request computes the
+            # rest of it, so store it when it is full. Sliding-window and Mamba
+            # blocks of that chunk can hold the tail state, so they keep the skip.
             if req_status.offloading_context.policy == OffloadPolicy.CHUNK_LEVEL:
-                group_state.next_stored_chunk_idx = num_chunks
+                group_state.next_stored_chunk_idx = num_chunks - (
+                    partial_tail_boundary is not None
+                    and group_config.sliding_window_size_in_chunks is None
+                )
 
         src_spec = self.manager.prepare_load(keys_to_load, req_status.req_context)
         dst_spec = GPULoadStoreSpec(