While they seem to nurse like they should, they will nurse only enough to take the edge off their hunger, and then they will go back to sleep. So in Rosalie’s case, she was nursing regularly but not getting enough because she wasn’t sucking vigorously for long enough.
This experience has really opened my eyes to how different a baby born at 38 weeks will be compared to one born at 40 weeks. It certainly would make me think twice before trying to induce early or have an elective c-section before 40 weeks, because evidently at 37 weeks, babies are still not necessarily out of danger.
So if your baby has been delivered earlier than 40 weeks, pay close attention to their activity and eating habits to make sure they are coping well with coming into the world sooner. Dealing with a baby who isn’t eating right is a scary ordeal.