Both my children were earlier than 40 weeks. Thirty-seven and thirty-five weeks respectively. They were both healthy. The youngest had oxygen for about 2 hours, then did well. I worked in a newborn nursery for 18 years, and infants 37 weeks are considered term. Infants of mothers who experience episodes of preterm labor are more mature due to being stressed in utero. I would say yes, in the absence of underlying conditions, a 36 or 37 week infant will be okay.