diff --git a/src/plugins/intel_cpu/src/emitters/tpp/aarch64/jit_brgemm_emitter.cpp b/src/plugins/intel_cpu/src/emitters/tpp/aarch64/jit_brgemm_emitter.cpp
index a0e66ec14061bd..6997c8d0f25389 100644
--- a/src/plugins/intel_cpu/src/emitters/tpp/aarch64/jit_brgemm_emitter.cpp
+++ b/src/plugins/intel_cpu/src/emitters/tpp/aarch64/jit_brgemm_emitter.cpp
@@ -37,8 +37,8 @@ std::set<std::vector<element::Type>> jit_brgemm_emitter::get_supported_precision
 }
 
 void jit_brgemm_emitter::validate_arguments(const std::vector<size_t>& in, const std::vector<size_t>& out) const {
-    OV_CPU_JIT_EMITTER_ASSERT(in.size() == 2, "Expects 2 input regs, got" + std::to_string(in.size()));
-    OV_CPU_JIT_EMITTER_ASSERT(out.size() == 1, "Expects 1 output reg, got" + std::to_string(out.size()));
+    OV_CPU_JIT_EMITTER_ASSERT(in.size() == 2, "Expects 2 input regs, got", in.size());
+    OV_CPU_JIT_EMITTER_ASSERT(out.size() == 1, "Expects 1 output reg, got", out.size());
 }
 
 void jit_brgemm_emitter::emit_code_impl(const std::vector<size_t>& in,
diff --git a/src/plugins/intel_cpu/src/emitters/tpp/common/kernel_executors/brgemm.cpp b/src/plugins/intel_cpu/src/emitters/tpp/common/kernel_executors/brgemm.cpp
index 2e29f3c92b64df..00f26e4a641013 100644
--- a/src/plugins/intel_cpu/src/emitters/tpp/common/kernel_executors/brgemm.cpp
+++ b/src/plugins/intel_cpu/src/emitters/tpp/common/kernel_executors/brgemm.cpp
@@ -29,6 +29,13 @@ size_t BrgemmKernelConfig::compute_hash() const {
 
 void BrgemmKernelConfig::update(int64_t M, int64_t N, int64_t K, int64_t LDA, int64_t LDB, int64_t LDC, float beta) {
     BrgemmGenericKernelConfig::update(M, N, K, LDA, LDB, LDC, beta);
+    // update compile flag, which should be reset depend on beta. It is combination of beta and static_compile_flag and
+    // considered in hash() and operator==
+    libxsmm_bitfield new_flag = get_static_compile_flags();
+    if (beta == 0) {
+        new_flag |= LIBXSMM_GEMM_FLAG_BETA_0;
+    }
+    set_compile_flags(new_flag);
     m_hash = compute_hash();
 }
 
@@ -136,8 +143,6 @@ void BrgemmKernelExecutor::update_config(const ov::snippets::lowered::Expression
     }
 
     config.update(M, N, K, io_strides[0], io_strides[1], io_strides[2], beta);
-    // update compile flag, which is depend on beta. should be part of hash.
-    config.set_compile_flags_with_zero_beta(config.get_beta() == 0);
 }
 
 void BrgemmKernelExecutor::execute(const BrgemmKernelExecutor* executor, void* in0, void* in1, void* out0) {
diff --git a/src/plugins/intel_cpu/src/emitters/tpp/common/kernel_executors/brgemm.hpp b/src/plugins/intel_cpu/src/emitters/tpp/common/kernel_executors/brgemm.hpp
index 47952a212bed2a..169f2df364f092 100644
--- a/src/plugins/intel_cpu/src/emitters/tpp/common/kernel_executors/brgemm.hpp
+++ b/src/plugins/intel_cpu/src/emitters/tpp/common/kernel_executors/brgemm.hpp
@@ -35,13 +35,6 @@ struct BrgemmKernelConfig : public BrgemmGenericKernelConfig {
     libxsmm_bitfield get_compile_flags() const {
         return m_compile_flags;
     }
-    void set_compile_flags_with_zero_beta(bool zero_beta) {
-        if (zero_beta) {
-            m_compile_flags = m_static_params->m_compile_flags | LIBXSMM_GEMM_FLAG_BETA_0;
-        } else {
-            m_compile_flags = m_static_params->m_compile_flags;
-        }
-    }
     bool get_prefetching_flags() const {
         return m_static_params->m_prefetching_flags;
     }
@@ -57,6 +50,9 @@ struct BrgemmKernelConfig : public BrgemmGenericKernelConfig {
     libxsmm_datatype get_type_exec() const {
         return m_static_params->m_type_exec;
     }
+    libxsmm_bitfield get_static_compile_flags() const {
+        return m_static_params->m_compile_flags;
+    }
 #ifdef SNIPPETS_DEBUG_CAPS
     std::string to_string() const override;
 #endif
@@ -64,7 +60,6 @@ struct BrgemmKernelConfig : public BrgemmGenericKernelConfig {
 private:
     struct StaticParams {
         StaticParams(const element::Type& in0_dtype, const element::Type& in1_dtype);
-        virtual ~StaticParams() = default;
 
         bool operator==(const StaticParams& rhs) const;
         bool operator!=(const StaticParams& rhs) const {
@@ -88,10 +83,13 @@ struct BrgemmKernelConfig : public BrgemmGenericKernelConfig {
 
         size_t m_hash{SIZE_MAX};
     };
+
     const std::shared_ptr<StaticParams>& get_static_params() const {
         return m_static_params;
     }
-
+    void set_compile_flags(const libxsmm_bitfield& compile_flags) {
+        m_compile_flags = compile_flags;
+    }
     libxsmm_bitfield m_compile_flags{0};
     std::shared_ptr<StaticParams> m_static_params{nullptr};
 
@@ -109,7 +107,6 @@ struct BrgemmTppCompiledKernel {
 class BrgemmKernelExecutor : public CPUKernelExecutor<BrgemmKernelConfig, BrgemmTppCompiledKernel> {
 public:
     BrgemmKernelExecutor(ov::intel_cpu::MultiCacheWeakPtr kernel_cache, BrgemmKernelConfig config);
-    virtual ~BrgemmKernelExecutor() = default;
 
     // Function that will be called in runtime to execute the kernel
     static void execute(const BrgemmKernelExecutor* executor, void* in0, void* in1, void* out0);
diff --git a/src/plugins/intel_cpu/src/emitters/tpp/x64/jit_brgemm_emitter.cpp b/src/plugins/intel_cpu/src/emitters/tpp/x64/jit_brgemm_emitter.cpp
index d41dfae2b860b3..ed6a28482dcba3 100644
--- a/src/plugins/intel_cpu/src/emitters/tpp/x64/jit_brgemm_emitter.cpp
+++ b/src/plugins/intel_cpu/src/emitters/tpp/x64/jit_brgemm_emitter.cpp
@@ -41,8 +41,8 @@ std::set<std::vector<element::Type>> BrgemmTppEmitter::get_supported_precisions(
 }
 
 void BrgemmTppEmitter::validate_arguments(const std::vector<size_t>& in, const std::vector<size_t>& out) const {
-    OV_CPU_JIT_EMITTER_ASSERT(in.size() == 2, "Expects 2 input regs, got" + std::to_string(in.size()));
-    OV_CPU_JIT_EMITTER_ASSERT(out.size() == 1, "Expects 1 output reg, got" + std::to_string(out.size()));
+    OV_CPU_JIT_EMITTER_ASSERT(in.size() == 2, "Expects 2 input regs, got", in.size());
+    OV_CPU_JIT_EMITTER_ASSERT(out.size() == 1, "Expects 1 output reg, got", out.size());
 }
 
 const uintptr_t BrgemmTppEmitter::get_compiled_kernel_ptr() const {