How can I say "noexcept if execution of protected base constructor is noexcept"?

We had this situation and wondered about the best way to fix it

template<typename T>
struct A : T {
  A(T &&t) noexcept(noexcept(T(std::move(t))))
     :T(std::move(t))
  { }
};

This unfortunately fails to compile because T's move constructor is protected, and we are only allowed to call it in the constructor initialization list for *this. What are the workarounds to make this work or is there even a standard way for it?