Hmm, sounds like you might have to just skip it. But can you try this before you skip it, esp since he's waking at 11pm to feed?
If your last feed is 7 or 7:30pm, give the df at 9:30 (2 1/2hrs after your last feed). Pick him up from his crib and sit in a chair or your bed, take the teat of the bottle and insert into his mouth and wiggle it for a min. If he doesn't suckle, then take your index finger and kinda move his chin up & down and see if he starts to suckle. If he doesn't budge, try again in 20 mins. If he still doesn't suckle, you might just have to feed him when he wakes at 11pm. If he feeds at 11pm, when does he wake next to feed?
Kathy