diff --git a/colossalai/pipeline/schedule/zero_bubble_pp.py b/colossalai/pipeline/schedule/zero_bubble_pp.py
index 622e7eb08..c1c4f13c6 100644
--- a/colossalai/pipeline/schedule/zero_bubble_pp.py
+++ b/colossalai/pipeline/schedule/zero_bubble_pp.py
@@ -475,8 +475,9 @@ class ZeroBubbleVPipeScheduler(PipelineSchedule):
         tree_map(retain_grad, input_obj)
 
         if model_chunk_id == 1 and self.stage_manager.is_first_stage(ignore_chunk=True):
-            # loss backward; output_obj is loss
-            output_obj_grad = None
+            # loss backward; output_obj is loss; so output_obj_grad should be None
+            assert output_obj_grad is None
+
         optimizer.backward_by_grad(
             tensor=output_obj,
             grad=output_obj_grad,
@@ -554,7 +555,9 @@ class ZeroBubbleVPipeScheduler(PipelineSchedule):
             # not last stage; recv from next
             else:
                 input_obj = self.recv_forward_buffer[model_chunk_id].pop(0)
-        input_obj.requires_grad_()
+
+        # Here, let input_obj.requires_grad_()
+        tree_map(torch.Tensor.requires_grad_, input_obj)
 
         # Step2: fwd step
         output_obj = self.forward_step(