I'm starting to pump to increase my supply and am wondering if I should be giving my baby some of what I pump. She's gaining weight slowly, about 4-5 ounces a week. She's just three weeks old. I pumped a feed (both breasts) and got 3 ounces. She doesn't drain both breasts, she's very sleepy. We've tried waking her (warm washcloth, burping, changing diapers, undressing her) and she seems to nod off once the flow decreases. She's probably getting about 2 ounces each feeding which correlates to the the amount of weight she's been gaining (and what she has not been gaining). She's got 5 mustard/seedy poops a day and at least 7 wet diapers. The seedy poops are often small and sometimes medium sized.
So, I'm going to pump a little after each feed. My question is this: should I feed her an ounce of what I pump or will this interfere with increasing my milk supply.
Thanks for your advice!