diff --git a/python/paddle/fluid/tests/unittests/test_var_conv_2d.py b/python/paddle/fluid/tests/unittests/test_var_conv_2d.py
index 0a2dbf7271264bbe096159a26f40ffc394285a9c..db5debdb43222dbb12f7708c3da8b50c5d8b6e69 100644
--- a/python/paddle/fluid/tests/unittests/test_var_conv_2d.py
+++ b/python/paddle/fluid/tests/unittests/test_var_conv_2d.py
@@ -16,7 +16,7 @@ from __future__ import print_function
 
 import unittest
 import numpy as np
-from op_test import OpTest
+from op_test import OpTest, skip_check_grad_ci
 
 
 class TestVarConv2dOp(OpTest):
@@ -244,6 +244,9 @@ class TestVarConv2dOpCase5(TestVarConv2dOp):
                        col)
 
 
+@skip_check_grad_ci(
+    reason="[skip shape check] Use shape of input_channel, row and col all is 1 to test special LoDTensor."
+)
 class TestVarConv2dOpCase6(TestVarConv2dOp):
     def set_data(self):
         input_channel = 1
diff --git a/python/paddle/fluid/tests/unittests/white_list/check_shape_white_list.py b/python/paddle/fluid/tests/unittests/white_list/check_shape_white_list.py
index 82d86fd2e5ad4f3b9d6700a4284ba26d02aeec1b..f2f70bf874bb1e79a4c3a1baab0ed4abea55f466 100644
--- a/python/paddle/fluid/tests/unittests/white_list/check_shape_white_list.py
+++ b/python/paddle/fluid/tests/unittests/white_list/check_shape_white_list.py
@@ -35,5 +35,4 @@ NEED_TO_FIX_OP_LIST = [
     'spp',
     'squared_l2_distance',
     'tree_conv',
-    'var_conv_2d',
 ]