Baby stays latched all night

Anyone else's baby stay latched to you like a pacifier all night? My SO works nights, so I cosleep. It makes breastfeeding easier, plus there is plenty of room for both me & the baby. When we first lay down for bed he sleeps just fine, but after the first time he wakes to eat in the middle of the night I can't unlatch him or he loses it. He literally stays latched all night. Anyone else? I have gotten to where I just let him do it, he is 2 weeks old & we both get more sleep this way.