You and your baby should be fine at 37 weeks:)
It really just depends on where you live and who your doctor is the best thing to do is to ask your doctor:)
But is it still safe if it is pretty term (so 37-38 weeks)?
37 to 38 w=early term 39to40 =full term 41to42=late term 42+ =post term
.hope that helps :)
37-40 weeks is a full term baby