diff --git a/include/aidge/backend/cpu/data/TensorImpl.hpp b/include/aidge/backend/cpu/data/TensorImpl.hpp
index 922acacb070c745b2924d1fb787602326ec9d05a..7cd8c67262221fbf9c1b2415ebf98db56274cce5 100644
--- a/include/aidge/backend/cpu/data/TensorImpl.hpp
+++ b/include/aidge/backend/cpu/data/TensorImpl.hpp
@@ -23,6 +23,8 @@ namespace Aidge {
 
 template <class T>
 class TensorImpl_cpu : public TensorImpl {
+    static_assert(std::is_trivially_copyable<T>::value, "TensorImpl type should be trivially copyable");
+
 private:
     /// Pointer to the data and its capacity
     future_std::span<T> mData;
diff --git a/include/aidge/data/Tensor.hpp b/include/aidge/data/Tensor.hpp
index 2503c01b385a7a28eda0490a0715ef2de3a1f1db..cdd2aba1bff6bf3fcca2e6c148fcc71f3d54db71 100644
--- a/include/aidge/data/Tensor.hpp
+++ b/include/aidge/data/Tensor.hpp
@@ -527,6 +527,7 @@ public:
     template <typename expectedType>
     const expectedType& get(std::size_t idx) const {
         AIDGE_ASSERT(NativeType<expectedType>::type == mDataType, "wrong data type");
+        AIDGE_ASSERT(mImpl->hostPtr() != nullptr, "get() can only be used for backends providing a valid host pointer");
         AIDGE_ASSERT(idx < mSize, "idx out of range");
         return *reinterpret_cast<expectedType *>(mImpl->hostPtr(mImplOffset + idx));
     }
@@ -539,6 +540,7 @@ public:
     template <typename expectedType>
     void set(std::size_t idx, expectedType value){
         AIDGE_ASSERT(NativeType<expectedType>::type == mDataType, "wrong data type");
+        AIDGE_ASSERT(mImpl->hostPtr() != nullptr, "get() can only be used for backends providing a valid host pointer");
         AIDGE_ASSERT(idx < mSize, "idx out of range");
         expectedType* dataPtr = static_cast<expectedType*>(mImpl->hostPtr(mImplOffset + idx));
         *dataPtr = value;