However, in the presence of pregnancy complications, a baby can be delivered earlier to save baby's condition. If born prematurely without complications, some 32-weekers can do well. As much as possible, a baby has better chances of coming out healthy after the 37th week. However, in the presence of pregnancy complications, a baby can be delivered earlier to save baby's condition. If born prematurely without complications, some 32-weekers can do well. In brief: Date of delivery. As much as possible, a baby has better chances of coming out healthy after the 37th week.