diff --git a/src/core/shape_inference/include/identity_shape_inference.hpp b/src/core/shape_inference/include/identity_shape_inference.hpp
index 9b2657464aeda1..74fa435a2a1a6b 100644
--- a/src/core/shape_inference/include/identity_shape_inference.hpp
+++ b/src/core/shape_inference/include/identity_shape_inference.hpp
@@ -5,6 +5,7 @@
 #pragma once
 
 #include "openvino/op/identity.hpp"
+#include "utils.hpp"
 
 namespace ov {
 namespace op {
diff --git a/src/plugins/intel_cpu/src/nodes/identity.cpp b/src/plugins/intel_cpu/src/nodes/identity.cpp
index 70d2b63463e284..c4706cb8c45272 100644
--- a/src/plugins/intel_cpu/src/nodes/identity.cpp
+++ b/src/plugins/intel_cpu/src/nodes/identity.cpp
@@ -105,10 +105,10 @@ std::string Identity::getPrimitiveDescriptorType() const {
     std::string str_type;
     if (type == impl_desc_type::unknown)
         str_type = "unknown";
-    else if (str_type.empty())
-        str_type = "undef";
-    else
+    else if (type == impl_desc_type::ref_any)
         str_type = "ref_any";
+    else
+        str_type = "undef";
 
     if (selectedPrimitiveDesc) {
         if (selectedPrimitiveDesc->getConfig().outConfs[0].getMemDesc()->getPrecision() != ov::element::u8) {