Military Moms-inducement

Jess
So my husband and I had our last elective ultrasound on our son. We were told his head is measuring at 34 weeks his stomach at 38 weeks and legs at 37 weeks. They said he is almost 7 lbs and most likely be between 8.5-9 lbs. my bump is on the smaller end. I've been dilated since 34 weeks. My OB said he's not good at estimating weight. So if he's really going to be a 9 lbs baby, would they induce early? I'm not due until June 12 but they are expecting him to come around June 7th.