diff --git a/tests/common/quantization/metatypes.py b/tests/common/quantization/metatypes.py
index 8b8255c59a7..d4f43c7cf41 100644
--- a/tests/common/quantization/metatypes.py
+++ b/tests/common/quantization/metatypes.py
@@ -36,11 +36,13 @@ class BatchNormTestMetatype(TestMetatype):
 @METATYPES_FOR_TEST.register()
 class Conv2dTestMetatype(TestMetatype):
     name = "conv2d"
+    input_edges_num_expected = 2
 
 
 @METATYPES_FOR_TEST.register()
 class MatMulTestMetatype(TestMetatype):
     name = "matmul"
+    input_edges_num_expected = 2
 
 
 @METATYPES_FOR_TEST.register()
@@ -76,6 +78,7 @@ class CatTestMetatype(TestMetatype):
 @METATYPES_FOR_TEST.register()
 class LinearTestMetatype(TestMetatype):
     name = "linear"
+    input_edges_num_expected = 2
 
 
 @METATYPES_FOR_TEST.register()
@@ -96,11 +99,13 @@ class IdentityTestMetatype(TestMetatype):
 @METATYPES_FOR_TEST.register()
 class ReshapeTestMetatype(TestMetatype):
     name = "reshape"
+    input_edges_num_expected = 2
 
 
 @METATYPES_FOR_TEST.register()
 class QuantizerTestMetatype(TestMetatype):
     name = "quantizer"
+    input_edges_num_expected = 2
 
 
 @METATYPES_FOR_TEST.register()
@@ -116,6 +121,7 @@ class ReluTestMetatype(TestMetatype):
 @METATYPES_FOR_TEST.register()
 class AddTestMetatype(TestMetatype):
     name = "add"
+    input_edges_num_expected = 2
 
 
 @METATYPES_FOR_TEST.register()
@@ -126,16 +132,19 @@ class ShapeOfTestMetatype(TestMetatype):
 @METATYPES_FOR_TEST.register()
 class PowerTestMetatype(TestMetatype):
     name = "power"
+    input_edges_num_expected = 2
 
 
 @METATYPES_FOR_TEST.register()
 class MultiplyTestMetatype(TestMetatype):
     name = "multiply"
+    input_edges_num_expected = 2
 
 
 @METATYPES_FOR_TEST.register()
 class InterpolateTestMetatype(TestMetatype):
     name = "interpolate"
+    input_edges_num_expected = 3
 
 
 @METATYPES_FOR_TEST.register()
diff --git a/tests/common/quantization/test_quantizer_removal.py b/tests/common/quantization/test_quantizer_removal.py
index 159095fd0ae..fe42596bf0d 100644
--- a/tests/common/quantization/test_quantizer_removal.py
+++ b/tests/common/quantization/test_quantizer_removal.py
@@ -18,6 +18,7 @@
 from nncf.common.graph import NNCFGraph
 from nncf.common.graph.layer_attributes import Dtype
 from nncf.common.quantization.quantizer_removal import find_quantizer_nodes_to_cut
+from nncf.quantization.passes import filter_constant_nodes
 from nncf.quantization.passes import remove_shapeof_subgraphs
 from tests.common.quantization.metatypes import CONSTANT_METATYPES
 from tests.common.quantization.metatypes import METATYPES_FOR_TEST
@@ -226,7 +227,8 @@ def create_test_params():
 @pytest.mark.parametrize("nncf_graph,test_case", create_test_params())
 def test_find_quantizer_nodes_to_cut(nncf_graph: NNCFGraph, test_case: TestCase):
     quantizer_node = nncf_graph.get_node_by_name(test_case.node_name)
-    nncf_graph_without_shapeof = remove_shapeof_subgraphs(deepcopy(nncf_graph), SHAPEOF_METATYPES)
+    nncf_graph_without_shapeof = filter_constant_nodes(deepcopy(nncf_graph), CONSTANT_METATYPES)
+    nncf_graph_without_shapeof = remove_shapeof_subgraphs(nncf_graph_without_shapeof, SHAPEOF_METATYPES)
     nodes, ops = find_quantizer_nodes_to_cut(
         nncf_graph_without_shapeof,
         quantizer_node,