I have a 19 wk baby. She was 7 wks prem but is very well and healthy. She has been on 4 ounces for about a month and all of a sudden she has moved up to 6 to 7 ounces in a week. Is this normal? Can you overfeed a baby on breast milk? I am exclusively pumping thats how I know how much she takes. I dont really want her to be very chubby-fat- like some other breastfed babies i see. Do babies just naturally put on the weight and not get overfed or get greedy? Help.