diff --git a/colossalai/gemini/chunk.py b/colossalai/gemini/chunk.py
index c39a06502..b454fc988 100644
--- a/colossalai/gemini/chunk.py
+++ b/colossalai/gemini/chunk.py
@@ -208,7 +208,7 @@ class Chunk:
             tensor (torch.Tensor): a torch Tensor object.
             tensor_state (TensorState): the target state for transition.
         """
-        assert tensor != TensorState.FREE, 'Can only set a chunk of tensors to FREE'
+
         # As the gradient hook can be triggered either before or after post-backward
         # tensor's state can be compute -> hold_after_bwd -> ready_for_reduce
         # or compute -> ready_for_reduce -> hold_after_bwd
diff --git a/colossalai/utils/checkpoint/module_checkpoint.py b/colossalai/utils/checkpoint/module_checkpoint.py
index 78dcfb681..a109b3702 100644
--- a/colossalai/utils/checkpoint/module_checkpoint.py
+++ b/colossalai/utils/checkpoint/module_checkpoint.py
@@ -89,6 +89,12 @@ def load_checkpoint(path: str,
         torch_load_kwargs: (dict, optional): The kwargs of torch.load inside the function
         load_state_dict_kwargs (dict, optional): The kwargs of load_state_dict inside the function
     """
+    # initialize the default paramters
+    if not torch_load_kwargs:
+        torch_load_kwargs = dict()
+    if not load_state_dict_kwargs:
+        load_state_dict_kwargs = dict()
+
     rank = dist.get_rank()
     mapping = dict()
     for n, p in model.named_parameters():
diff --git a/colossalai/utils/checkpoint/utils.py b/colossalai/utils/checkpoint/utils.py
index cd6f85175..5652600ff 100644
--- a/colossalai/utils/checkpoint/utils.py
+++ b/colossalai/utils/checkpoint/utils.py
@@ -24,7 +24,7 @@ def gather_tensor(colo_tensor: ColoTensor) -> None:
     if not colo_tensor.is_replicate():
         pg = colo_tensor.get_process_group()
         # for the group which contains rank 0
-        if pg.tp_rank_list()[0] == 0:
+        if pg.dp_local_rank() == 0:
             old_dist_spec = colo_tensor.dist_spec
             colo_tensor.to_replicate_()
             if dist.get_rank() != 0:
diff --git a/tests/test_utils/test_colo_checkpoint.py b/tests/test_utils/test_colo_checkpoint.py
index d25b17f10..a5ea75fff 100644
--- a/tests/test_utils/test_colo_checkpoint.py
+++ b/tests/test_utils/test_colo_checkpoint.py
@@ -146,6 +146,9 @@ def _run_checkpoint(model_name, init_spec_func, use_ddp, use_mp_reload, test_sch
         data = data.to(get_current_device())
         label = label.to(get_current_device())
 
+        dist.broadcast(data, pg.tp_rank_list()[0], pg.tp_process_group())
+        dist.broadcast(label, pg.tp_rank_list()[0], pg.tp_process_group())
+
         # Bcast rank0 data to all processes
         if criterion:
             output = model(data)
@@ -183,9 +186,9 @@ def _run_checkpoint(model_name, init_spec_func, use_ddp, use_mp_reload, test_sch
 def run_dist(rank, world_size, port, use_ddp, use_mp_reload, test_scheduler):
     colossalai.launch(config={}, rank=rank, world_size=world_size, host='localhost', port=port, backend='nccl')
     pg = ProcessGroup(tp_degree=world_size)
-    # TODO(haichen) add BERT in the test
+
     # the data loader of BERT is in DDP mode, causing the input data is not replicated in the TP context
-    for model_name in ['simple_net']:
+    for model_name in ['bert']:
         _run_checkpoint(model_name,
                         init_1d_row_for_linear_weight_spec,
                         use_ddp,