H.W.
My daughter did the same thing but all the swallowing we (and lactation) heard was from her trying to control the flow of the feeding (she had a swallowing disorder) and when it became too difficult, she would stop trying. I am NOT saying your daughter has a feeding problem, but what I am saying is that sometimes if you have a lot of milk (or a super fast let-down) then it can be hard for a baby to control. Maybe you could try expressing just a little before putting her on so that it isn't so "overwhelming".