diff --git a/tests/v1/e2e/test_async_scheduling.py b/tests/v1/e2e/test_async_scheduling.py
index dbe403ece..c4aca8241 100644
--- a/tests/v1/e2e/test_async_scheduling.py
+++ b/tests/v1/e2e/test_async_scheduling.py
@@ -65,9 +65,8 @@ def test_without_spec_decoding(
         (True, "mp", True, None, False),
         (True, "uni", True, None, False),
         (False, "mp", True, None, True),
-        # Async scheduling + preemption + chunked prefill needs to be fixed (WIP)
-        # (True, "mp", True, None, True),
-        # (True, "uni", True, None, True),
+        (True, "mp", True, None, True),
+        (True, "uni", True, None, True),
     ]
 
     run_tests(
@@ -103,9 +102,8 @@ def test_with_spec_decoding(monkeypatch: pytest.MonkeyPatch):
         (False, "mp", True, spec_config_short, True),
         (True, "uni", True, spec_config, False),
         (True, "uni", True, spec_config_short, False),
-        # Async scheduling + preemption + chunked prefill needs to be fixed (WIP)
-        #  (True, "mp", True, spec_config, True),
-        #  (True, "uni", True, spec_config_short, True),
+        (True, "mp", True, spec_config, True),
+        (True, "uni", True, spec_config_short, True),
     ]
 
     run_tests(
diff --git a/vllm/v1/core/sched/scheduler.py b/vllm/v1/core/sched/scheduler.py
index bc15979de..8e6254233 100644
--- a/vllm/v1/core/sched/scheduler.py
+++ b/vllm/v1/core/sched/scheduler.py
@@ -778,9 +778,7 @@ class Scheduler(SchedulerInterface):
                 assert not scheduled_in_prev_step
                 resumed_req_ids.add(req_id)
             if not scheduled_in_prev_step:
-                all_token_ids[req_id] = req.all_token_ids[
-                    : req.num_computed_tokens + num_tokens
-                ]
+                all_token_ids[req_id] = req.all_token_ids.copy()
             new_block_ids.append(
                 req_to_new_blocks[req_id].get_block_ids(allow_none=True)
             )
diff --git a/vllm/v1/utils.py b/vllm/v1/utils.py
index a401f6d74..29099d1e9 100644
--- a/vllm/v1/utils.py
+++ b/vllm/v1/utils.py
@@ -97,6 +97,9 @@ class ConstantList(Generic[T], Sequence):
     def __repr__(self):
         return f"ConstantList({self._x})"
 
+    def copy(self) -> list[T]:
+        return self._x.copy()
+
 
 class CpuGpuBuffer:
     """Buffer to easily copy tensors between CPU and GPU."""