diff --git a/src/plugins/intel_cpu/src/nodes/executors/acl/acl_reduce.hpp b/src/plugins/intel_cpu/src/nodes/executors/acl/acl_reduce.hpp
index 0a84053b860..29e4a888ff6 100644
--- a/src/plugins/intel_cpu/src/nodes/executors/acl/acl_reduce.hpp
+++ b/src/plugins/intel_cpu/src/nodes/executors/acl/acl_reduce.hpp
@@ -63,6 +63,11 @@ public:
                 return false;
             }
         }
+        if (srcDescs[0]->getShape().getRank() >= arm_compute::MAX_DIMS) {
+            DEBUG_LOG("ACL supports ", arm_compute::MAX_DIMS,
+                      " dimensions maximum. src[0] shape rank is ", srcDescs[0]->getShape().getRank());
+            return false;
+        }
         return true;
     }
 
diff --git a/src/plugins/intel_cpu/src/nodes/reduce.cpp b/src/plugins/intel_cpu/src/nodes/reduce.cpp
index 67ba6a637a1..9c9a39feb2b 100644
--- a/src/plugins/intel_cpu/src/nodes/reduce.cpp
+++ b/src/plugins/intel_cpu/src/nodes/reduce.cpp
@@ -2023,7 +2023,11 @@ void Reduce::createPrimitive() {
     jcp.layout = layout;
     jcp.reduce_mode = getAlgorithm();
 
+#if defined(OPENVINO_ARCH_X86_64)
     compile_post_kernel = true;
+#else
+    compile_post_kernel = false;
+#endif // OPENVINO_ARCH_X86_64
 
     if (mayiuse(cpu::x64::avx512_core)) {
         blk_size = 16;
diff --git a/src/plugins/intel_cpu/tests/functional/shared_tests_instances/skip_tests_config.cpp b/src/plugins/intel_cpu/tests/functional/shared_tests_instances/skip_tests_config.cpp
index 224abb78c87..9f4f8285395 100644
--- a/src/plugins/intel_cpu/tests/functional/shared_tests_instances/skip_tests_config.cpp
+++ b/src/plugins/intel_cpu/tests/functional/shared_tests_instances/skip_tests_config.cpp
@@ -236,7 +236,7 @@ std::vector<std::string> disabledTestPatterns() {
     retVector.emplace_back(R"(smoke_TrivialLoop/TrivialLoopTest.AutoSlicingInputWithDynCondition_(CheckPredefinedValues|CheckReference).*)");
     retVector.emplace_back(R"(smoke_LSTMSequenceCommonZeroClip/LSTMSequenceTest.CompareWithRefs.*)");
     retVector.emplace_back(R"(smoke_LSTMSequenceCommonClip/LSTMSequenceTest.CompareWithRefs.*)");
-    retVector.emplace_back(R"(smoke_Decomposition_(3|4|10)D/Mvn6LayerTest.CompareWithRefs.*)");
+    retVector.emplace_back(R"(smoke_Decomposition_(3|4)D/Mvn6LayerTest.CompareWithRefs.*)");
     retVector.emplace_back(R"(smoke_AvgPool_ExplicitPad_CeilRounding/PoolingLayerTest.CompareWithRefs.*)");
     retVector.emplace_back(R"(smoke_ReduceLogicalOneAxis/ReduceOpsLayerTest.CompareWithRefs.*)");
     retVector.emplace_back(R"(smoke_Reduce_InputShapes/ReduceOpsLayerTest.CompareWithRefs.*)");