I didn't have a hospital birth, but did have dd transfered to the NINCU. She spent one day in the NINCU and then two with us in a room in pediatrics. We weren't planning on co-sleeping back then, but at 5 in the morning when I still hadn't slept because she kept waking up every time I layed her down, I decided to just lay down with her and nurse that way. Low and behold, she slept and so did I
I had one nurse give me a hard time and say she needed to get out of the bed, but she didn't make an issue of it. Really, it's your baby, so they can't force you to not co-sleep.