diff --git a/colossalai/tensor/chunk.py b/colossalai/tensor/chunk.py
index 5d228e937..d0c8315dc 100644
--- a/colossalai/tensor/chunk.py
+++ b/colossalai/tensor/chunk.py
@@ -158,6 +158,14 @@ class Chunk:
         return torch.isinf(self.data[:self.utilized_size]).any().item() or \
             torch.isnan(self.data[:self.utilized_size]).any().item()
 
+    def copy_(self, dest_chunk: 'Chunk'):
+        assert not self.is_free
+        assert not dest_chunk.is_free
+        assert self.size == dest_chunk.size
+        assert self.utilized_size == dest_chunk.utilized_size
+        self.data.copy_(dest_chunk.data)
+        self._update_tensors_ptr()
+
 
 class ChunkManager:
 
@@ -306,3 +314,8 @@ class ChunkManager:
                 max_chunk_util = chunk_util
                 best_chunk_size = chunk_size
         return best_chunk_size
+
+    def copy_chunk_group(self, dest_group_name: str, src_group_name: str):
+        for dest_chunk, src_chunk in zip(self.chunk_groups[dest_group_name], self.chunk_groups[src_group_name]):
+            if not dest_chunk.is_free:
+                dest_chunk.copy_(src_chunk)
diff --git a/colossalai/zero/zero_optimizer.py b/colossalai/zero/zero_optimizer.py
index fa5b84456..8cc21515d 100644
--- a/colossalai/zero/zero_optimizer.py
+++ b/colossalai/zero/zero_optimizer.py
@@ -5,8 +5,6 @@ from torch.optim import Optimizer
 from colossalai.nn.parallel.data_parallel import ColoDDPV2
 from typing import Dict
 from colossalai.amp.naive_amp.grad_scaler import DynamicGradScaler
-from colossalai.core import global_context as gpc
-from colossalai.context import ParallelMode
 from colossalai.logging import get_dist_logger
 from colossalai.nn.optimizer import ColossalaiOptimizer
 
@@ -56,12 +54,7 @@ class ZeroOptimizer(ColossalaiOptimizer):
                     assert p.grad is None
 
     def _update_fp16_params(self):
-        for group in self.optim.param_groups:
-            for p in group['params']:
-                if not self.module.chunk_manager.is_chunk_free(p):
-                    # TODO(ver217): copy chunk
-                    fp32_p = self.fp16_param_to_fp32_param[p]
-                    self.module.chunk_manager.copy_tensor_to_chunk_slice(p, fp32_p)
+        self.module.chunk_manager.copy_chunk_group('fp16_param', 'fp32_param')
 
     def _check_overflow(self):
         # clear previous overflow record