How much?

My 2 month old is fed 5 oz of exclusively pumped breast milk every 3-4 hours during the day and around 5-6 hours at night (per Dr's recommendation). I pump after he feeds and I produce about 6-9 oz combined per every session (15 min). My LO is still hungry after eating all 5 oz. If I were able to breast feed directly I assume he would be eating as much as I pump if not more. Would I be over feeding my LO if I fed him all that was pumped?