diff --git a/paddle/fluid/framework/tensor.cc b/paddle/fluid/framework/tensor.cc
index 222a51672fc827b39b5f6ba2d5e5e3384997e567..d61dbb98a235ca9af089d35318b7f4c68cb125cc 100644
--- a/paddle/fluid/framework/tensor.cc
+++ b/paddle/fluid/framework/tensor.cc
@@ -32,7 +32,7 @@ size_t Tensor::memory_size() const {
 }
 
 void* Tensor::mutable_data(platform::Place place, std::type_index type,
-                           int64_t requested_size) {
+                           size_t requested_size) {
   if (holder_ != nullptr) {
     holder_->set_type(type);
   }
@@ -40,7 +40,7 @@ void* Tensor::mutable_data(platform::Place place, std::type_index type,
                     "When calling this method, the Tensor's numel must be "
                     "equal or larger than zero. "
                     "Please check Tensor::Resize has been called first.");
-  int64_t size = requested_size ? requested_size : numel() * SizeOfType(type);
+  size_t size = requested_size ? requested_size : numel() * SizeOfType(type);
   /* some versions of boost::variant don't have operator!= */
   if (holder_ == nullptr || !(holder_->place() == place) ||
       holder_->size() < size + offset_) {
@@ -69,7 +69,7 @@ void* Tensor::mutable_data(platform::Place place, std::type_index type,
                                  offset_);
 }
 
-void* Tensor::mutable_data(platform::Place place, int64_t requested_size) {
+void* Tensor::mutable_data(platform::Place place, size_t requested_size) {
   PADDLE_ENFORCE(this->holder_ != nullptr,
                  "Cannot invoke mutable data if current hold nothing.");
   return mutable_data(place, holder_->type(), requested_size);
diff --git a/paddle/fluid/framework/tensor.h b/paddle/fluid/framework/tensor.h
index a4454c90b06f07de204af2083a06cf3f426e7856..4cf95fa0ae07823289fbf337062190f05e6c6bcf 100644
--- a/paddle/fluid/framework/tensor.h
+++ b/paddle/fluid/framework/tensor.h
@@ -89,12 +89,12 @@ class Tensor {
    * @note    If not exist, then allocation.
    */
   template <typename T>
-  T* mutable_data(platform::Place place, int64_t requested_size = 0);
+  T* mutable_data(platform::Place place, size_t requested_size = 0);
 
   void* mutable_data(platform::Place place, std::type_index type,
-                     int64_t requested_size = 0);
+                     size_t requested_size = 0);
 
-  void* mutable_data(platform::Place place, int64_t requested_size = 0);
+  void* mutable_data(platform::Place place, size_t requested_size = 0);
 
   /**
    * @brief     Return a pointer to mutable memory block.
@@ -106,7 +106,7 @@ class Tensor {
    * @note      If not exist, then allocation.
    */
   template <typename T>
-  T* mutable_data(DDim dims, platform::Place place, int64_t requested_size = 0);
+  T* mutable_data(DDim dims, platform::Place place, size_t requested_size = 0);
 
   /*! Return the dimensions of the memory block. */
   const DDim& dims() const;
diff --git a/paddle/fluid/framework/tensor_impl.h b/paddle/fluid/framework/tensor_impl.h
index ea10c9a2658cbd8334d2c50e87c55967dbf0db65..6d3047c95d6cf30c2a5308d4f69ded367066d78c 100644
--- a/paddle/fluid/framework/tensor_impl.h
+++ b/paddle/fluid/framework/tensor_impl.h
@@ -47,14 +47,14 @@ inline T* Tensor::data() {
 
 template <typename T>
 inline T* Tensor::mutable_data(DDim dims, platform::Place place,
-                               int64_t requested_size) {
+                               size_t requested_size) {
   static_assert(std::is_pod<T>::value, "T must be POD");
   Resize(dims);
   return mutable_data<T>(place, requested_size);
 }
 
 template <typename T>
-inline T* Tensor::mutable_data(platform::Place place, int64_t requested_size) {
+inline T* Tensor::mutable_data(platform::Place place, size_t requested_size) {
   static_assert(std::is_pod<T>::value, "T must be POD");
   return reinterpret_cast<T*>(mutable_data(place, typeid(T), requested_size));
 }
diff --git a/paddle/fluid/operators/conv_mkldnn_op.cc b/paddle/fluid/operators/conv_mkldnn_op.cc
index 77d0cf07a869d1e997227ae82e2c697825a2aa48..d75e6412c8950bce33855c67b5f9725261d7ba06 100644
--- a/paddle/fluid/operators/conv_mkldnn_op.cc
+++ b/paddle/fluid/operators/conv_mkldnn_op.cc
@@ -53,15 +53,15 @@ class ConvMKLDNNHandler : public platform::MKLDNNHandler {
     key_ += "-BWD";
   }
 
-  size_t GetDstMemorySize() {
+  size_t GetDstMemorySize() const {
     return conv_pd_->dst_primitive_desc().get_size();
   }
 
-  size_t GetDiffWeightsMemorySize() {
+  size_t GetDiffWeightsMemorySize() const {
     return conv_bwd_weights_pd_->diff_weights_primitive_desc().get_size();
   }
 
-  size_t GetDiffSourceMemorySize() {
+  size_t GetDiffSourceMemorySize() const {
     return conv_bwd_data_pd_->diff_src_primitive_desc().get_size();
   }
 
@@ -491,7 +491,7 @@ class ConvMKLDNNGradOpKernel : public paddle::framework::OpKernel<T> {
           handler.AcquireDiffDstMemoryFromWeightsPrimitive(
               user_diff_dst_memory_p, pipeline);
 
-      size_t size = handler.GetDiffWeightsMemorySize();
+      const size_t size = handler.GetDiffWeightsMemorySize();
       filter_grad_data = filter_grad->mutable_data<T>(ctx.GetPlace(), size);
 
       auto diff_weights_memory_p =
@@ -516,7 +516,7 @@ class ConvMKLDNNGradOpKernel : public paddle::framework::OpKernel<T> {
           handler.AcquireDiffDstMemoryFromDataPrimitive(user_diff_dst_memory_p,
                                                         pipeline);
 
-      size_t size = handler.GetDiffSourceMemorySize();
+      const size_t size = handler.GetDiffSourceMemorySize();
       input_grad_data = input_grad->mutable_data<T>(ctx.GetPlace(), size);
 
       auto diff_src_memory_p = handler.AcquireDiffSrcMemoryFromDataPrimitive(