diff --git a/src/core/include/openvino/core/model.hpp b/src/core/include/openvino/core/model.hpp
index e5d0158e538..dae178b011a 100644
--- a/src/core/include/openvino/core/model.hpp
+++ b/src/core/include/openvino/core/model.hpp
@@ -10,6 +10,7 @@
 #include <memory>
 #include <mutex>
 #include <string>
+#include <unordered_set>
 #include <vector>
 
 #include "openvino/core/any.hpp"
@@ -554,6 +555,7 @@ private:
     // of weak_ptr not to increase node ref counter to prevent the situation when
     // node has no consumers but still exists in a graph.
     mutable std::vector<std::weak_ptr<Node>> m_cached_ordered_ops;
+    mutable std::unordered_set<Node*> m_cached_ops;
 
     mutable std::unordered_map<std::string, Output<Node>> m_cached_output_names;
     mutable std::unordered_map<std::string, std::weak_ptr<Node>> m_cached_op_names;
diff --git a/src/core/src/model.cpp b/src/core/src/model.cpp
index 142514be453..d4fd18df72c 100644
--- a/src/core/src/model.cpp
+++ b/src/core/src/model.cpp
@@ -318,6 +318,7 @@ std::vector<shared_ptr<ov::Node>> ov::Model::get_ordered_ops() const {
     m_cached_ordered_ops.clear();
     for_each(order.cbegin(), order.cend(), [this](const shared_ptr<Node>& node) {
         m_cached_ordered_ops.push_back(node);
+        m_cached_ops.insert(node.get());
         node->insert_info(m_shared_rt_info);
     });
     m_cached_output_names.clear();
@@ -923,6 +924,9 @@ ov::Output<ov::Node> ov::Model::add_output(const std::string& op_name, size_t ou
 }
 
 ov::Output<ov::Node> ov::Model::add_output(const ov::Output<ov::Node>& port) {
+    auto cache_valid = [&]() {
+        return m_cached_ops.count(port.get_node());
+    };
     if (ov::op::util::is_output(port.get_node()))
         return port;
     for (const auto& input : port.get_target_inputs()) {
@@ -934,9 +938,14 @@ ov::Output<ov::Node> ov::Model::add_output(const ov::Output<ov::Node>& port) {
     auto result = std::make_shared<ov::op::v0::Result>(port);
     m_results.push_back(result);
     if (m_shared_rt_info->get_use_topological_cache()) {
-        // Full update of topological cache is not needed, 'result' can be just inserted to the end
-        m_cached_ordered_ops.push_back(result);
-        result->insert_info(m_shared_rt_info);  // Just for consistency, not required for Result nodes
+        if (cache_valid()) {
+            // Full update of topological cache is not needed, 'result' can be just inserted to the end
+            m_cached_ordered_ops.push_back(result);
+            m_cached_ops.insert(result.get());
+            result->insert_info(m_shared_rt_info);  // Just for consistency, not required for Result nodes
+        } else {
+            m_shared_rt_info->set_use_topological_cache(false);
+        }
     }
     return result->output(0);
 }
diff --git a/src/core/tests/model.cpp b/src/core/tests/model.cpp
index f5550c62c79..3ba65dd8c0a 100644
--- a/src/core/tests/model.cpp
+++ b/src/core/tests/model.cpp
@@ -1034,6 +1034,31 @@ TEST(model, add_output_port) {
     EXPECT_EQ(f->get_results()[1]->input_value(0).get_node(), relu1.get());
 }
 
+TEST(model, add_output_to_new_subgraph) {
+    auto arg0 = std::make_shared<ov::opset8::Parameter>(ov::element::f32, ov::PartialShape{1});
+    arg0->set_friendly_name("data");
+    arg0->get_output_tensor(0).set_names({"input"});
+
+    auto relu1 = std::make_shared<ov::opset8::Relu>(arg0);
+    relu1->set_friendly_name("relu1");
+    relu1->get_output_tensor(0).set_names({"relu_t1"});
+
+    auto relu2 = std::make_shared<ov::opset8::Relu>(relu1);
+    relu2->set_friendly_name("relu2");
+    relu2->get_output_tensor(0).set_names({"relu_t2"});
+    auto f = std::make_shared<ov::Model>(relu2, ov::ParameterVector{arg0});
+    f->validate_nodes_and_infer_types();
+
+    EXPECT_EQ(f->get_results().size(), 1);
+
+    ov::Output<ov::Node> out;
+    EXPECT_NO_THROW(
+        out = f->add_output(ov::opset8::Constant::create(ov::element::i32, {1}, std::vector<int32_t>{1})->output(0)));
+    EXPECT_NO_THROW(f->get_ordered_ops());
+    EXPECT_EQ(out.get_node(), f->get_results()[1].get());
+    EXPECT_EQ(f->get_results().size(), 2);
+}
+
 TEST(model, add_output_incorrect_tensor_name) {
     auto arg0 = std::make_shared<ov::opset8::Parameter>(ov::element::f32, ov::PartialShape{1});
     arg0->set_friendly_name("data");