Babys born early without NICU?

Holly • 31 year old lover of Jesus and wife of man. Baby #5,due 7/19
This is my third baby with my others born 10 years ago. Since then term pregnancy has changed. My daughter was born at 36 weeks and considered full term with no health problems. My question is has anyone had a 35-37 weekish baby that had no NICU time? Im just worried since times have changed if I do have her early she might have to stay until due date.