Induction cause of smaller baby

Has anyone else been through this or heard about it? I’m 37 weeks and at my ultrasound they said she was under 6 pounds and her growth seemed to have slowed a bit from previous weeks.. therefore my doctor wants to induce me a week before my due date, rather than letting me go all the way to term. I guess she said it is better and easier to monitor baby’s growth on the outside. Just curious if anyone else is in my boat!