diff --git a/intel_extension_for_transformers/qbits/dispatcher/include/bestla_weightonly_dispatcher.hpp b/intel_extension_for_transformers/qbits/dispatcher/include/bestla_weightonly_dispatcher.hpp
index 1f33cfc663b..784c512220f 100644
--- a/intel_extension_for_transformers/qbits/dispatcher/include/bestla_weightonly_dispatcher.hpp
+++ b/intel_extension_for_transformers/qbits/dispatcher/include/bestla_weightonly_dispatcher.hpp
@@ -14,7 +14,6 @@
 #pragma once
 #include <ATen/core/TensorBody.h>
 #include <torch/torch.h>
-#include "bestla/bestla_storage.h"
 #include "../include/dispatcher_utils.hpp"
 #include <string.h>
 #include <assert.h>
diff --git a/intel_extension_for_transformers/qbits/dispatcher/include/dispatcher_utils.hpp b/intel_extension_for_transformers/qbits/dispatcher/include/dispatcher_utils.hpp
index 8a0c99b3b3a..05a8c718b26 100644
--- a/intel_extension_for_transformers/qbits/dispatcher/include/dispatcher_utils.hpp
+++ b/intel_extension_for_transformers/qbits/dispatcher/include/dispatcher_utils.hpp
@@ -16,6 +16,7 @@
 #include <chrono>
 #include <string>
 #include "bestla/bestla_device.h"
+#include "bestla/bestla_storage.h"
 #include "bestla/bestla_utils.h"
 #include "bestla/bestla_parallel.h"
 namespace dispatcher_utils {
@@ -26,6 +27,12 @@ inline bool check_avx_vnni() { return bestla::device::CpuDevice::getInstance()->
 inline bool check_avx512f() { return bestla::device::CpuDevice::getInstance()->AVX512F(); }
 inline bool check_avx2() { return bestla::device::CpuDevice::getInstance()->AVX2(); }
 
+template <class GemmCore>
+constexpr bool is_int8_cmpt_gemmcore() {
+  return GemmCore::ISA == BTLA_ISA::AMX_INT8 || GemmCore::ISA == BTLA_ISA::AVX512_VNNI ||
+         GemmCore::ISA == BTLA_ISA::AVX_VNNI || std::is_same_v<GemmCore, bestla::gemm::ICoreRowNAvx2vnniKBlock<24, 2>>;
+}
+
 class qbits_threading {
  public:
   static bestla::parallel::IThreading* get() {
diff --git a/intel_extension_for_transformers/qbits/dispatcher/src/bestla_packq_impl.cpp b/intel_extension_for_transformers/qbits/dispatcher/src/bestla_packq_impl.cpp
index 399deaba7e0..cf6889a9f15 100644
--- a/intel_extension_for_transformers/qbits/dispatcher/src/bestla_packq_impl.cpp
+++ b/intel_extension_for_transformers/qbits/dispatcher/src/bestla_packq_impl.cpp
@@ -16,12 +16,19 @@
 #include "../include/bestla_packq_impl.hpp"
 
 namespace woq {
-template <class GemmCore, BTLA_ISA ISA>
+
+template <class proB>
 void execute_qpack(repack_quantized_weight_param* p, repack_quantized_weight_ctx* ctx, WOQ_TASK task) {
-  using proB = bestla::prologue_b::gemm::WeightKBlockNInteger<GemmCore, ISA>;
   static proB ker;
-  auto qpackw = ker.createStorage(ctx->n, ctx->k, p->blocksize, wei2bestladt_map.at(p->weight_type),
-                                  scale2bestladt_map.at(p->scale_type), BTLA_DTYPE::BF16, p->asym);
+  using WType = typename proB::StorageWeight;
+  WType qpackw(0);
+  if constexpr (std::is_same_v<WType, bestla::storage::gemm::StorageWeightKBlockNInteger>) {
+    qpackw = ker.createStorage(ctx->n, ctx->k, p->blocksize, wei2bestladt_map.at(p->weight_type),
+                               scale2bestladt_map.at(p->scale_type), BTLA_DTYPE::BF16, p->asym);
+  } else {
+    qpackw = ker.createStorage(ctx->n, ctx->k, p->blocksize, wei2bestladt_map.at(p->weight_type),
+                               scale2bestladt_map.at(p->scale_type));
+  }
   if (p->enable_act_shuffle) ker.enableShuffle(&qpackw);
   ctx->packw_size = qpackw.mSize;
   if (task == WOQ_GET_PACKW_SIZE) return;
@@ -33,6 +40,20 @@ void execute_qpack(repack_quantized_weight_param* p, repack_quantized_weight_ctx
                   p->asym ? ctx->zp->data_ptr<int8_t>() : nullptr, &qpackw, dispatcher_utils::qbits_threading::get());
 }
 
+template <class GemmCore, BTLA_ISA ISA>
+void parse_prob(repack_quantized_weight_param* p, repack_quantized_weight_ctx* ctx, WOQ_TASK task) {
+  if (p->weight_type == "int8" || p->weight_type == "int4_clip" || p->weight_type == "int3_clip" ||
+      p->weight_type == "int2_clip") {
+    return execute_qpack<bestla::prologue_b::gemm::WeightKBlockNInteger<GemmCore, ISA>>(p, ctx, task);
+  }
+  if (p->weight_type == "nf4" || p->weight_type == "fp4_e2m1_bnb" || p->weight_type == "fp4_e2m1") {
+    TORCH_CHECK(!p->asym, "Qbits: float-weight unsupports asym quantization.");
+    return execute_qpack<bestla::prologue_b::gemm::WeightKBlockNFloat<GemmCore, ISA>>(p, ctx, task);
+  }
+  TORCH_CHECK(false, "Qbits: unsupported bestla packq config, compute_type: " + p->compute_type +
+                         " weight_type: " + p->weight_type);
+}
+
 std::string get_dtype_str(BTLA_DTYPE dtype) {
   switch (dtype) {
     case BTLA_DTYPE::F32:
@@ -183,40 +204,38 @@ torch::Tensor get_packw_info(torch::Tensor& packw, PACKW_ACQUIRE_TYPE ACQ_T) {
 }
 
 void bestla_packq(repack_quantized_weight_param* p, repack_quantized_weight_ctx* ctx, WOQ_TASK task) {
-  // TODO(zhe): elegant impl.
-  TORCH_CHECK(p->weight_type == "int8" || p->weight_type == "int4_clip" || p->weight_type == "int3_clip" ||
-                  p->weight_type == "int2_clip",
-              "Qbits: only support Integer WOQ in PACKQ");
-
   if (p->compute_type == "int8") {
+    TORCH_CHECK(p->weight_type == "int8" || p->weight_type == "int4_clip" || p->weight_type == "int3_clip" ||
+                    p->weight_type == "int2_clip",
+                "Qbits: only support Integer weight-type with int8 compute-type");
     if (dispatcher_utils::check_amx() && p->blocksize % bestla::gemm::ICoreRowNAmxint8KBlock<64, 16>::KTILE == 0) {
-      return execute_qpack<bestla::gemm::ICoreRowNAmxint8KBlock<64, 16>, BTLA_ISA::AMX_INT8>(p, ctx, task);
+      return parse_prob<bestla::gemm::ICoreRowNAmxint8KBlock<64, 16>, BTLA_ISA::AMX_INT8>(p, ctx, task);
     }
     if (dispatcher_utils::check_avx512_vnni() &&
         p->blocksize % bestla::gemm::ICoreRowNAvx512vnniKBlock<48, 4>::KTILE == 0) {
-      return execute_qpack<bestla::gemm::ICoreRowNAvx512vnniKBlock<48, 4>, BTLA_ISA::AVX512_VNNI>(p, ctx, task);
+      return parse_prob<bestla::gemm::ICoreRowNAvx512vnniKBlock<48, 4>, BTLA_ISA::AVX512_VNNI>(p, ctx, task);
     }
     if (dispatcher_utils::check_avx_vnni() && p->blocksize % bestla::gemm::ICoreRowNAvxvnniKBlock<24, 2>::KTILE == 0) {
-      return execute_qpack<bestla::gemm::ICoreRowNAvxvnniKBlock<24, 2>, BTLA_ISA::AVX_VNNI>(p, ctx, task);
+      return parse_prob<bestla::gemm::ICoreRowNAvxvnniKBlock<24, 2>, BTLA_ISA::AVX_VNNI>(p, ctx, task);
     }
     if (dispatcher_utils::check_avx2() && p->blocksize % bestla::gemm::ICoreRowNAvx2vnniKBlock<24, 2>::KTILE == 0) {
-      return execute_qpack<bestla::gemm::ICoreRowNAvx2vnniKBlock<24, 2>, BTLA_ISA::AVX2>(p, ctx, task);
+      return parse_prob<bestla::gemm::ICoreRowNAvx2vnniKBlock<24, 2>, BTLA_ISA::AVX2>(p, ctx, task);
     }
     TORCH_CHECK(false, "Qbits: Illegal config in int8 compute_type, blocksize:", p->blocksize,
                 ", ISA support avx2:", dispatcher_utils::check_avx2());
   }
   if (p->compute_type == "fp32") {
     if (dispatcher_utils::check_avx512f()) {
-      return execute_qpack<bestla::gemm::SCoreRowNAvx512f<48, 8>, BTLA_ISA::AVX512F>(p, ctx, task);
+      return parse_prob<bestla::gemm::SCoreRowNAvx512f<48, 8>, BTLA_ISA::AVX512F>(p, ctx, task);
     }
     if (dispatcher_utils::check_avx2()) {
-      return execute_qpack<bestla::gemm::SCoreRowNAvx2<24, 4>, BTLA_ISA::AVX2>(p, ctx, task);
+      return parse_prob<bestla::gemm::SCoreRowNAvx2<24, 4>, BTLA_ISA::AVX2>(p, ctx, task);
     }
     TORCH_CHECK(false, "Qbits: device ISA must support BTLA_ISA::AVX2 when compute_type==fp32");
   }
   if (p->compute_type == "bf16") {
     if (dispatcher_utils::check_amx()) {
-      return execute_qpack<bestla::gemm::HCoreRowNAmxbf16<64, 16>, BTLA_ISA::AMX_BF16>(p, ctx, task);
+      return parse_prob<bestla::gemm::HCoreRowNAmxbf16<64, 16>, BTLA_ISA::AMX_BF16>(p, ctx, task);
     }
     TORCH_CHECK(false, "Qbits: device ISA must support AMX-BF16 when compute_type==bf16");
   }
diff --git a/intel_extension_for_transformers/qbits/dispatcher/src/bestla_weightonly_dispatcher.cpp b/intel_extension_for_transformers/qbits/dispatcher/src/bestla_weightonly_dispatcher.cpp
index f9864ddece0..c04e652a4aa 100644
--- a/intel_extension_for_transformers/qbits/dispatcher/src/bestla_weightonly_dispatcher.cpp
+++ b/intel_extension_for_transformers/qbits/dispatcher/src/bestla_weightonly_dispatcher.cpp
@@ -43,12 +43,6 @@ concept quant_PrologueA = requires {
   requires !std::is_same_v<T, bestla::utils::bf16>;
 };
 
-template <class GemmCore>
-constexpr bool is_int8_cmpt_gemmcore() {
-  return GemmCore::ISA == BTLA_ISA::AMX_INT8 || GemmCore::ISA == BTLA_ISA::AVX512_VNNI ||
-         GemmCore::ISA == BTLA_ISA::AVX_VNNI || std::is_same_v<GemmCore, bestla::gemm::ICoreRowNAvx2vnniKBlock<24, 2>>;
-}
-
 template <class Launcher>
 void dequantize_packed_weight(woq_config_param* p, woq_runtime_ctx* ctx) {
   if (dispatcher_utils::initer.verbose) dispatcher_utils::timer.start();
@@ -133,7 +127,7 @@ void do_compute(woq_config_param* p, woq_runtime_ctx* ctx, ParamA param_a) {
   using StorageWeight = typename Launcher::PrologueB::StorageWeight;
   size_t asym_size = 0, shuf_size = 0;
   int8_t* tmpbuf = nullptr;
-  if constexpr (is_int8_cmpt_gemmcore<GemmCore>()) {
+  if constexpr (dispatcher_utils::is_int8_cmpt_gemmcore<GemmCore>()) {
     using Parallel = bestla::parallel::gemm::SchedulerKBlockS<GemmCore>;
     bestla::utils::GemmProblem gp(1, ctx->m, ctx->n, ctx->k, p->blocksize);
     StorageWeight* packedw = dynamic_cast<StorageWeight*>(ctx->deseries_wei);
@@ -236,7 +230,7 @@ void execute_task(woq_config_param* p, woq_runtime_ctx* ctx) {
 template <WOQ_TASK TASK, class GemmCore, template <class _T, BTLA_ISA> class PrologueB,
           template <class _T, BTLA_ISA> class PrologueA, template <BTLA_ISA> class Epilogue>
 void parse_launcher(woq_config_param* p, woq_runtime_ctx* ctx) {
-  if constexpr (is_int8_cmpt_gemmcore<GemmCore>()) {
+  if constexpr (dispatcher_utils::is_int8_cmpt_gemmcore<GemmCore>()) {
     using Launcher = bestla::wrapper::gemm::LauncherIntKBlock<GemmCore::ISA, GemmCore, PrologueA, PrologueB, Epilogue>;
     return execute_task<TASK, Launcher>(p, ctx);
   } else {
@@ -260,7 +254,7 @@ template <WOQ_TASK TASK, class GemmCore, template <class _T, BTLA_ISA> class Pro
 void parse_activation(woq_config_param* p, woq_runtime_ctx* ctx) {
   using namespace bestla::prologue_a::gemm;
   if (p->src_dt == dispatcher_utils::QBITS_FP32) {
-    if constexpr (is_int8_cmpt_gemmcore<GemmCore>()) {
+    if constexpr (dispatcher_utils::is_int8_cmpt_gemmcore<GemmCore>()) {
       return parse_store<TASK, GemmCore, PrologueB, ShuffleActivationKBlockQuantizeF32, dispatcher_utils::QBITS_FP32>(
           p, ctx);
     } else {
@@ -269,7 +263,7 @@ void parse_activation(woq_config_param* p, woq_runtime_ctx* ctx) {
     }
   }
   if (p->src_dt == dispatcher_utils::QBITS_BF16) {
-    if constexpr (is_int8_cmpt_gemmcore<GemmCore>()) {
+    if constexpr (dispatcher_utils::is_int8_cmpt_gemmcore<GemmCore>()) {
       return parse_store<TASK, GemmCore, PrologueB, ShuffleActivationKBlockQuantizeBf16, dispatcher_utils::QBITS_BF16>(
           p, ctx);
     } else {
@@ -289,7 +283,7 @@ void parse_weight(woq_config_param* p, woq_runtime_ctx* ctx) {
   if (p->weight_type == "nf4" || p->weight_type == "fp4_e2m1_bnb" || p->weight_type == "fp4_e2m1" ||
       p->weight_type == "fp8_e4m3" || p->weight_type == "fp8_e5m2") {
     TORCH_CHECK(!p->asym, "Qbits: float-weight unsupports asym quantization.");
-    if constexpr (!is_int8_cmpt_gemmcore<GemmCore>())
+    if constexpr (!dispatcher_utils::is_int8_cmpt_gemmcore<GemmCore>())
       return parse_activation<TASK, GemmCore, WeightKBlockNFloat>(p, ctx);
   }
   TORCH_CHECK(false,