diff --git a/ngraph/python/tests/test_ngraph/test_basic.py b/ngraph/python/tests/test_ngraph/test_basic.py
index d9c3e12174c..04df09b9c9b 100644
--- a/ngraph/python/tests/test_ngraph/test_basic.py
+++ b/ngraph/python/tests/test_ngraph/test_basic.py
@@ -26,8 +26,7 @@ from ngraph.impl import Function, PartialShape, Shape, Type
 from ngraph.impl.op import Parameter
 from tests.runtime import get_runtime
 from tests.test_ngraph.util import run_op_node
-from tests import (xfail_issue_34323,
-                   xfail_issue_35929,
+from tests import (xfail_issue_35929,
                    xfail_issue_36476,
                    xfail_issue_36479,
                    xfail_issue_36480)
@@ -281,7 +280,6 @@ def test_backend_config():
     runtime.set_config(dummy_config)
 
 
-@xfail_issue_34323
 def test_result():
     node = np.array([[11, 10], [1, 8], [3, 4]])
     result = run_op_node([node], ng.result)
diff --git a/ngraph/python/tests/test_onnx/test_backend.py b/ngraph/python/tests/test_onnx/test_backend.py
index 47cf46a4380..214b0782b7a 100644
--- a/ngraph/python/tests/test_onnx/test_backend.py
+++ b/ngraph/python/tests/test_onnx/test_backend.py
@@ -221,19 +221,13 @@ tests_expected_to_fail = [
         "OnnxBackendNodeModelTest.test_ceil_example_cpu"),
     (xfail_issue_34323,
         "OnnxBackendNodeModelTest.test_constant_cpu",
-        "OnnxBackendNodeModelTest.test_dropout_default_cpu",
         "OnnxBackendNodeModelTest.test_eyelike_populate_off_main_diagonal_cpu",
         "OnnxBackendNodeModelTest.test_eyelike_without_dtype_cpu",
-        "OnnxBackendNodeModelTest.test_max_one_input_cpu",
-        "OnnxBackendNodeModelTest.test_min_one_input_cpu",
         "OnnxBackendNodeModelTest.test_shape_cpu",
         "OnnxBackendNodeModelTest.test_shape_example_cpu",
         "OnnxBackendNodeModelTest.test_size_cpu",
         "OnnxBackendNodeModelTest.test_size_example_cpu",
-        "OnnxBackendNodeModelTest.test_sum_one_input_cpu",
         "OnnxBackendNodeModelTest.test_dropout_default_ratio_cpu",
-        "OnnxBackendNodeModelTest.test_dropout_default_old_cpu",
-        "OnnxBackendNodeModelTest.test_dropout_random_old_cpu",
         "OnnxBackendNodeModelTest.test_training_dropout_default_cpu",
         "OnnxBackendNodeModelTest.test_training_dropout_zero_ratio_cpu",
         "OnnxBackendNodeModelTest.test_training_dropout_cpu"),