Does your baby take 2 or 3 times milk every day? My one is used to take 3 times per day, but the nurse says only 2 times per day is enough for 2 year-old. So I cut the bedtime milk. The nurse also says no need worry how much he/she can take the milk. Just give baby a cup of milk, no matter how much he/she can take.
I used to give milk to my boy in the morning, afternoon, and before bed. Now I cut the bedtime milk, so he won't drink too much before bed. Just try to train him not wearing diaper in the night.