Move into a function that takes const lvalue reference

I am using this class, not written by me and I can't change its code:

class A {
private:
    Val d_val;
public:
    void setVal(const Val& val) { d_val = val; }
    const Val& getVal() const { return d_val; }
};

Val supports move but class A was written without that in mind. Can I somehow avoid a copy of val in the scenario? I doubt std::move(val) into setVal will work since it doesn't take an r value reference.

A a;
Val val;
// populate val
a.setVal(val); // I don't need val after here