Your Giftor needs to call reservations, or as a "bluey" will need to be signed anyway, go to a ticketing desk.
It is possible to do this. I've gifted a CR1 this way, and I've also had a SWU gifted to me with this same scenario.
It takes an agent who is willing to do it, and also the knowledge (or be willing to call and ask someone who knows). If the first agent can't do it, have your giftor call, call, call again.