diff --git a/src/common/transformations/tests/utils/convert_precision.cpp b/src/common/transformations/tests/utils/convert_precision.cpp
index 400cf4608bed67..125ab8712d55c0 100644
--- a/src/common/transformations/tests/utils/convert_precision.cpp
+++ b/src/common/transformations/tests/utils/convert_precision.cpp
@@ -2289,6 +2289,8 @@ TEST(TransformationTests, ConvertPrecisionExplicitConvertsMultiParam) {
     ASSERT_TRUE(result.valid) << result.message;
 
     const auto& results = model->get_results();
+    ASSERT_EQ("add.0", results[0]->get_input_node_ptr(0)->get_friendly_name());
+    ASSERT_EQ("mul.0", results[1]->get_input_node_ptr(0)->get_friendly_name());
     ASSERT_EQ("sine", results[2]->get_input_node_ptr(0)->get_friendly_name());
 }
 
diff --git a/src/core/include/openvino/core/descriptor/output.hpp b/src/core/include/openvino/core/descriptor/output.hpp
index 11fc6030aa6a4f..cef60d0f4778c6 100644
--- a/src/core/include/openvino/core/descriptor/output.hpp
+++ b/src/core/include/openvino/core/descriptor/output.hpp
@@ -42,8 +42,7 @@ class OPENVINO_API Output {
     std::shared_ptr<Tensor> get_tensor_ptr() const {
         return m_tensor;
     }
-
-    virtual void set_tensor_ptr(const std::shared_ptr<Tensor>& tensor) {
+    void set_tensor_ptr(const std::shared_ptr<Tensor>& tensor) {
         m_tensor = tensor;
     }
     void add_input(Input* input);
@@ -71,14 +70,8 @@ class OPENVINO_API Output {
     Output(const Output&) = default;
     Output(Output&&) = default;
     Output& operator=(const Output&) = default;
-    virtual ~Output() = default;
 
 protected:
-    friend void ov::Output<Node>::set_names(const std::unordered_set<std::string>& names);
-    friend void ov::Output<Node>::add_names(const std::unordered_set<std::string>& names);
-    virtual void set_names(const std::unordered_set<std::string>& names);
-    virtual void add_names(const std::unordered_set<std::string>& names);
-
     Node* m_node;
     size_t m_index;
     std::shared_ptr<Tensor> m_tensor;
diff --git a/src/core/src/descriptor/input.cpp b/src/core/src/descriptor/input.cpp
index 8d17599418e0aa..28288002780739 100644
--- a/src/core/src/descriptor/input.cpp
+++ b/src/core/src/descriptor/input.cpp
@@ -48,7 +48,7 @@ void ov::descriptor::Input::replace_output(Output& new_output) {
 }
 
 void ov::descriptor::Input::replace_output(const std::shared_ptr<ov::Node>& node, size_t i) {
-    replace_output(node->get_output_descriptor(i));
+    replace_output(node->m_outputs.at(i));
 }
 
 void ov::descriptor::Input::remove_output() {
diff --git a/src/core/src/descriptor/output.cpp b/src/core/src/descriptor/output.cpp
index 10f551f036fe8b..01106863e40c02 100644
--- a/src/core/src/descriptor/output.cpp
+++ b/src/core/src/descriptor/output.cpp
@@ -52,11 +52,3 @@ const ov::PartialShape& ov::descriptor::Output::get_partial_shape() const {
 const ov::element::Type& ov::descriptor::Output::get_element_type() const {
     return m_tensor->get_element_type();
 }
-
-void ov::descriptor::Output::set_names(const std::unordered_set<std::string>& names) {
-    get_tensor().set_names(names);
-}
-
-void ov::descriptor::Output::add_names(const std::unordered_set<std::string>& names) {
-    get_tensor().add_names(names);
-}