Mel, there is no reason why you couldn't express and give it to her if you want to do that. Any bm is of benefit to babies, so it would be good for her. It is really up to you. The liklihood is that you won't maintain your supply just by expressing, unless you are really committed to doing it every 3 -4 hours, but while the bm is there, if you want to give her what you have, that would be just fine.