My son has weak latch and always falling asleep/getting bored

My son is one week old and he always have a very weak latch on my breast. Anyone else have this problem? It is very hard to properly stimulate the milk production. I have consulted with lactation consultant and latch seems ok, I keep waking him up if he falls asleep etc. The only way I can give him breast milk is to pump and bottle feed it, but I really want to directly breastfeed if I can