diff --git a/src/llamafactory/train/trainer_utils.py b/src/llamafactory/train/trainer_utils.py
index 2d6bab24..9052c96d 100644
--- a/src/llamafactory/train/trainer_utils.py
+++ b/src/llamafactory/train/trainer_utils.py
@@ -213,6 +213,7 @@ def convert_pissa_adapter(
                 safe_serialization=training_args.save_safetensors,
                 convert_pissa_to_lora=pissa_init_dir,
             )
+            # TODO: the model is applied pissa again unexpectedly
             unwrapped_model.load_adapter(pissa_backup_dir, "default", is_trainable=True)
             unwrapped_model.set_adapter("default")
 
diff --git a/tests/model/test_base.py b/tests/model/test_base.py
index 954492ef..e1991b20 100644
--- a/tests/model/test_base.py
+++ b/tests/model/test_base.py
@@ -41,7 +41,7 @@ def compare_model(model_a: "torch.nn.Module", model_b: "torch.nn.Module"):
     state_dict_b = model_b.state_dict()
     assert set(state_dict_a.keys()) == set(state_dict_b.keys())
     for name in state_dict_a.keys():
-        assert torch.allclose(state_dict_a[name], state_dict_b[name])
+        assert torch.allclose(state_dict_a[name], state_dict_b[name], rtol=1e-4, atol=1e-5)
 
 
 @pytest.fixture
diff --git a/tests/model/test_lora.py b/tests/model/test_lora.py
index fe032332..64566fe8 100644
--- a/tests/model/test_lora.py
+++ b/tests/model/test_lora.py
@@ -67,9 +67,9 @@ def compare_model(model_a: "torch.nn.Module", model_b: "torch.nn.Module", diff_k
     assert set(state_dict_a.keys()) == set(state_dict_b.keys())
     for name in state_dict_a.keys():
         if any(key in name for key in diff_keys):
-            assert torch.allclose(state_dict_a[name], state_dict_b[name]) is False
+            assert torch.allclose(state_dict_a[name], state_dict_b[name], rtol=1e-4, atol=1e-5) is False
         else:
-            assert torch.allclose(state_dict_a[name], state_dict_b[name]) is True
+            assert torch.allclose(state_dict_a[name], state_dict_b[name], rtol=1e-4, atol=1e-5) is True
 
 
 @pytest.fixture
diff --git a/tests/model/test_pissa.py b/tests/model/test_pissa.py
index 41d02752..030310d0 100644
--- a/tests/model/test_pissa.py
+++ b/tests/model/test_pissa.py
@@ -59,7 +59,7 @@ def compare_model(model_a: "torch.nn.Module", model_b: "torch.nn.Module"):
     state_dict_b = model_b.state_dict()
     assert set(state_dict_a.keys()) == set(state_dict_b.keys())
     for name in state_dict_a.keys():
-        assert torch.allclose(state_dict_a[name], state_dict_b[name], rtol=1e-3, atol=1e-3)
+        assert torch.allclose(state_dict_a[name], state_dict_b[name], rtol=1e-4, atol=1e-5)
 
 
 def test_pissa_init():