38 weeks induction- baby small

At 38 weeks my baby is weighing 2.4kg. Doc say she’s small. Although she’s healthy and moving I am not leaking he checked and also did membrane sweep all is well (1cm dilated only), he still recommended an induction. I honestly feel it is no necessary. He mentioned water levels for baby is on lower side, and small so induction is best. Honestly I think he was being pushy then necessary! I’m on government route btw so not my personal gynae. What do you guys think? I have to go back on Wed to scan again because he did not want to issue me a longer HL yet.