diff --git a/src/plugins/intel_cpu/src/edge.h b/src/plugins/intel_cpu/src/edge.h
index b2890f3f477de1..af67e8a09a9168 100644
--- a/src/plugins/intel_cpu/src/edge.h
+++ b/src/plugins/intel_cpu/src/edge.h
@@ -30,7 +30,7 @@ class Edge {
     enum class Status {
         Uninitialized,  // base edge is unknown yet
         NeedAllocation, // edge is the base edge
-        NotAllocated,   // edge is a referencing edge
+        NotAllocated,   // edge references another edge
         Allocated,      // edge memory is allocated
         Validated       // edge is validated
     };
diff --git a/src/plugins/intel_cpu/src/graph.cpp b/src/plugins/intel_cpu/src/graph.cpp
index 50fee2d9444c2b..219d8c48dae321 100644
--- a/src/plugins/intel_cpu/src/graph.cpp
+++ b/src/plugins/intel_cpu/src/graph.cpp
@@ -722,25 +722,6 @@ void Graph::ResolveComplexInplaceConflicts() {
  */
 static size_t AllocateStringsAndConstants(EdgeClusters& clusters,
                                           const GraphContext::CPtr context) {
-    auto allocateStringMemory = [context](const EdgePtr& edge) {
-        if (edge->getParent()->isConstant()) {
-            if (edge->getParent()->getType() == Type::Input) {
-                auto constNode = static_cast<node::Input *>(edge->getParent().get());
-                edge->reuse(std::const_pointer_cast<IMemory>(constNode->getMemoryPtr()));
-            } else {
-                edge->externalAllocate(context->getWeightsCache());
-            }
-            auto stringMemory = dynamic_cast<StringMemory *>(edge->getMemoryPtr().get());
-            OPENVINO_ASSERT(stringMemory, "[CPU] Edge between nodes '",
-                            edge->getParent()->getName(), "' and '", edge->getChild()->getName(), "' must have StringMemory.");
-            return stringMemory->getStringMemoryBlockPtr();
-        }
-
-        auto memory = std::make_shared<StringMemory>(context->getEngine(), edge->getDesc());
-        edge->reuse(memory);
-        return memory->getStringMemoryBlockPtr();
-    };
-
     auto allocateConstantEdge = [context](const EdgePtr& edge) {
         if (edge->getParent()->getType() == Type::Input) {
             auto constNode = std::static_pointer_cast<node::Input>(edge->getParent());
@@ -750,6 +731,12 @@ static size_t AllocateStringsAndConstants(EdgeClusters& clusters,
         }
     };
 
+    auto allocateStringMemory = [context](const EdgePtr& edge) {
+        auto memory = std::make_shared<StringMemory>(context->getEngine(), edge->getDesc());
+        edge->reuse(memory);
+        return memory->getStringMemoryBlockPtr();
+    };
+
     auto notAllocatedPartitionEnd =
         std::partition(clusters.begin(), clusters.end(),
                        [&allocateStringMemory, &allocateConstantEdge, &context](const EdgeCluster& cluster) {
@@ -771,7 +758,18 @@ static size_t AllocateStringsAndConstants(EdgeClusters& clusters,
                                return true;
                            }
 
-                           // Allocate a string cluster
+                           // Allocate a cluster of the constants
+                           if (baseEdge->getParent()->isConstant()) {
+                               // @todo can we add some meaningful assert here?
+                               for (auto &edge : cluster) {
+                                   if (edge->getParent()->isConstant() && edge->getStatus() == Edge::Status::NeedAllocation) {
+                                       allocateConstantEdge(edge);
+                                   }
+                               }
+                               return false;
+                           }
+
+                           // Allocate a non-constant string cluster
                            if (baseEdge->getDesc().getPrecision() == element::string) {
                                OPENVINO_ASSERT(std::all_of(cluster.begin(), cluster.end(),
                                                            [](const EdgePtr& edge) {
@@ -786,17 +784,6 @@ static size_t AllocateStringsAndConstants(EdgeClusters& clusters,
                                return false;
                            }
 
-                           // Allocate a constant cluster
-                           if (baseEdge->getParent()->isConstant()) {
-                               // @todo can we add some meaningful assert here?
-                               for (auto &edge : cluster) {
-                                   if (edge->getParent()->isConstant() && edge->getStatus() == Edge::Status::NeedAllocation) {
-                                       allocateConstantEdge(edge);
-                                   }
-                               }
-                               return false;
-                           }
-
                            return true;
                        });
 
@@ -937,13 +924,13 @@ static void ValidateEdgeStatus(const std::vector<EdgePtr>& edges) {
 
 /**
  * Forms clusters of edges.
- * An edge cluster is a collection of edges, so:
+ * An edge cluster is a collection of edges, with the following properties:
  * - base edge is an edge with a Memory which other edges point to by means of inplace logic
  * - first edge of a cluster is a base edge with a status either NeedAllocation or Allocated
- * - rest of the edges in a cluster are NotAllocated ones, since they point to their base edge
+ * - rest of the edges in a cluster are NotAllocated ones, since they point to another edge
  */
 static EdgeClusters FormEdgeClusters(const std::vector<EdgePtr>& graphEdges) {
-    typedef std::unordered_map<EdgePtr, size_t> EdgeClusterIdxMap;
+    using EdgeClusterIdxMap = std::unordered_map<EdgePtr, size_t>;
     EdgeClusters edgeClusters;
     EdgeClusterIdxMap edgeClusterIndices;
 
@@ -1063,10 +1050,10 @@ static MemoryRegions FormMemoryRegions(const EdgeClusters& clusters,
     return memoryRegions;
 }
 
-static OutputMemoryBlocks FilterOutDynamicOutputEdges(MemoryRegions& memoryRegions,
-                                                      const EdgeClusters& clusters,
-                                                      const std::map<std::size_t, NodePtr>& outputNodes) {
-    OutputMemoryBlocks outputMemBlocks;
+static Graph::OutputMemoryBlocks FilterOutDynamicOutputEdges(MemoryRegions& memoryRegions,
+                                                             const EdgeClusters& clusters,
+                                                             const std::map<std::size_t, NodePtr>& outputNodes) {
+    Graph::OutputMemoryBlocks outputMemBlocks;
     memoryRegions.erase(std::remove_if(memoryRegions.begin(), memoryRegions.end(), [&](const MemoryRegion& region) {
         if (region.size >= 0 || !one_of(region.type, MemoryRegion::RegionType::OUTPUT, MemoryRegion::RegionType::IO)) {
             return false;
@@ -1108,7 +1095,7 @@ static OutputMemoryBlocks FilterOutDynamicOutputEdges(MemoryRegions& memoryRegio
  * 1) EdgeClusters - to propagate the solution through the graph
  * 2) OutputMemoryBlocks - to allow memory sharing between graph and infer request
  */
-static std::tuple<MemoryControl::MemorySolution, EdgeClusters, OutputMemoryBlocks>
+static std::tuple<MemoryControl::MemorySolution, EdgeClusters, Graph::OutputMemoryBlocks>
 SolveMemoryReuse(const std::shared_ptr<MemoryControl>& memoryControl,
                  const AllocationContext& allocationContext,
                  const GraphContext::CPtr graphContext,
diff --git a/src/plugins/intel_cpu/src/graph.h b/src/plugins/intel_cpu/src/graph.h
index 5d4805c15fb52c..d73cf6e6f3bdb6 100644
--- a/src/plugins/intel_cpu/src/graph.h
+++ b/src/plugins/intel_cpu/src/graph.h
@@ -30,11 +30,10 @@ namespace node {
 class MemoryStateNode;
 } // namespace node
 
-using OutputMemoryBlocks = std::unordered_map<std::size_t, ProxyMemoryBlockPtr>;
-
 class Graph {
 public:
-    typedef std::shared_ptr<Graph> Ptr;
+    using Ptr = std::shared_ptr<Graph>;
+    using OutputMemoryBlocks = std::unordered_map<std::size_t, ProxyMemoryBlockPtr>;
 
     enum class Status {
         NotReady = 0,
@@ -237,8 +236,6 @@ class Graph {
     void Activate(const std::vector<MemoryPtr>& externalInputMemory = {},
                   const std::vector<MemoryPtr>& externalOutputMemory = {});
 
-    void Allocate();
-
     /**
      * Register the graph in the global allocation context by transforming
      * local execution data into the global one:
@@ -290,6 +287,7 @@ class Graph {
                    const std::vector<node::Input::OutputConfig>& outputConfigs = {});
 
     void Configure(bool optimize = true);
+    void Allocate();
 
     void InitNodes();
     void InitDescriptors();
diff --git a/src/plugins/intel_cpu/src/memory_control.hpp b/src/plugins/intel_cpu/src/memory_control.hpp
index 23f65a0fe3f326..9a6d14d82ecaff 100644
--- a/src/plugins/intel_cpu/src/memory_control.hpp
+++ b/src/plugins/intel_cpu/src/memory_control.hpp
@@ -48,7 +48,7 @@ class MemoryControl {
     void releaseMemory();
 
 private:
-    explicit MemoryControl();
+    MemoryControl();
     void insert(const MemoryRegion& region, const std::vector<size_t>& syncInds);
 
     friend class NetworkMemoryControl;
diff --git a/src/plugins/intel_cpu/src/node.h b/src/plugins/intel_cpu/src/node.h
index 88d69fe39a9d20..78e47ed60c816a 100644
--- a/src/plugins/intel_cpu/src/node.h
+++ b/src/plugins/intel_cpu/src/node.h
@@ -114,7 +114,6 @@ class NodeDesc {
 
     bool hasZeroInputDims() const {
         const auto& inputConfigs = getConfig().inConfs;
-
         return std::any_of(inputConfigs.begin(), inputConfigs.end(), [](const PortConfig& portConfig) {
             return portConfig.hasZeroDims();
         });
@@ -122,13 +121,13 @@ class NodeDesc {
 
     bool hasZeroInputDimsAtPort(size_t portIdx) const {
         const auto& inputConfigs = getConfig().inConfs;
-        OPENVINO_ASSERT("Attempt to get NodeDesc input configuration for port " , portIdx, ". Number of inputs is ", inputConfigs.size());
+        OPENVINO_ASSERT(portIdx < inputConfigs.size(), "Attempt to get NodeDesc input configuration for port ",
+                        portIdx, ". Number of inputs is ", inputConfigs.size());
         return inputConfigs[portIdx].hasZeroDims();
     }
 
     bool hasZeroOutputDims() const {
         const auto& outputConfigs = getConfig().outConfs;
-
         return std::any_of(outputConfigs.begin(), outputConfigs.end(), [](const PortConfig& portConfig) {
             return portConfig.hasZeroDims();
         });
@@ -136,7 +135,8 @@ class NodeDesc {
 
     bool hasZeroOutputDimsAtPort(size_t portIdx) const {
         const auto& outputConfigs = getConfig().outConfs;
-        OPENVINO_ASSERT("Attempt to get NodeDesc output configuration for port " , portIdx, ". Number of outputs is ", outputConfigs.size());
+        OPENVINO_ASSERT(portIdx < outputConfigs.size(), "Attempt to get NodeDesc output configuration for port ",
+                        portIdx, ". Number of outputs is ", outputConfigs.size());
         return outputConfigs[portIdx].hasZeroDims();
     }
 
diff --git a/src/plugins/intel_cpu/src/nodes/composite.cpp b/src/plugins/intel_cpu/src/nodes/composite.cpp
index bcb142df51dcb5..d459d5526abd9d 100644
--- a/src/plugins/intel_cpu/src/nodes/composite.cpp
+++ b/src/plugins/intel_cpu/src/nodes/composite.cpp
@@ -42,7 +42,7 @@ void Composite::selectOptimalPrimitiveDescriptor() {
     std::vector<PortConfig> inConfs;
     std::vector<Input::InputConfig> graphInputConfig;
 
-    const bool isInPlace = true;
+    constexpr bool isInPlace = true;
 
     for (size_t i = 0; i < getParentEdges().size(); i++) {
         auto desc = getParentOutputMemDesc(getParentEdgeAt(i));
diff --git a/src/plugins/intel_cpu/src/nodes/lora.cpp b/src/plugins/intel_cpu/src/nodes/lora.cpp
index 832ece7cd1f153..3237c9de450adf 100644
--- a/src/plugins/intel_cpu/src/nodes/lora.cpp
+++ b/src/plugins/intel_cpu/src/nodes/lora.cpp
@@ -52,7 +52,7 @@ void LoRA::selectOptimalPrimitiveDescriptor() {
 
     inConfs.emplace_back(mainInputDesc);
 
-    const bool isInPlace = true;
+    constexpr bool isInPlace = true;
     graphInputConfig.emplace_back(node::Input::InputConfig{mainInputDesc, isInPlace});
 
     for (size_t i = 1; i < getParentEdges().size(); i++) {
diff --git a/src/plugins/intel_cpu/tests/functional/cmake/target_per_test.cmake b/src/plugins/intel_cpu/tests/functional/cmake/target_per_test.cmake
index 9d7fa9f9d9a365..5b8614ae9b63bb 100644
--- a/src/plugins/intel_cpu/tests/functional/cmake/target_per_test.cmake
+++ b/src/plugins/intel_cpu/tests/functional/cmake/target_per_test.cmake
@@ -96,7 +96,6 @@ endif()
 endfunction()
 
 if(ENABLE_CPU_SPECIFIC_TARGET_PER_TEST)
-    # create_target_per_test_for_directory(${CMAKE_CURRENT_SOURCE_DIR}/custom/subgraph_tests/src ov_cpu_func_subgraph)
   create_target_per_test_for_directory(${CMAKE_CURRENT_SOURCE_DIR}/custom/subgraph_tests/src/common ov_cpu_func_subgraph)
   create_target_per_test_for_directory(${CMAKE_CURRENT_SOURCE_DIR}/custom/single_layer_tests ov_cpu_func_slt)
 endif()