Anyone else being induced early cause the baby isn't growing fast enough?

Suzanne • 33yrs old, married 7 Years, first child
My doctor isn't letting me go past 38 weeks! My baby has been measuring small since I was 28 weeks. She isn't gaining enough weight each week. So the baby will probably will weigh about 5-6 lbs by the time I'm induced. I really was hoping for a spontaneous labor but it looks like that probably won't happen.