diff --git a/src/plugins/intel_cpu/src/cpu_memory.cpp b/src/plugins/intel_cpu/src/cpu_memory.cpp
index e6369119d5d..ac59fbba6f7 100644
--- a/src/plugins/intel_cpu/src/cpu_memory.cpp
+++ b/src/plugins/intel_cpu/src/cpu_memory.cpp
@@ -185,7 +185,7 @@ bool MemoryMngrWithReuse::resize(size_t size) {
     if (size > _memUpperBound) {
         void *ptr = dnnl::impl::malloc(size, cacheLineSize);
         if (!ptr) {
-            throw std::bad_alloc();
+            IE_THROW() << "Failed to allocate " << size << " bytes of memory";
         }
         _memUpperBound = size;
         _useExternalStorage = false;
diff --git a/src/plugins/intel_cpu/src/node.h b/src/plugins/intel_cpu/src/node.h
index 151b402df36..f41289cc525 100644
--- a/src/plugins/intel_cpu/src/node.h
+++ b/src/plugins/intel_cpu/src/node.h
@@ -415,7 +415,7 @@ public:
             }
         }
 
-        IE_THROW() << "Primitive descriptor was not found for node " << getName() << ".";
+        IE_THROW() << "Primitive descriptor was not found for node " << getName() << " with type " << NameFromType(getType()) << ".";
     }
 
     int getExecIndex() const {