Worries about having a big baby and thinking of asking to be induced👶🏻

This is my first baby and I am 21 - My baby at 33 weeks weighed roughly 4lb 14oz And was measuring at least a week ahead of schedule - I’m concerned that if labour doesn’t come on naturally before/around my due date that she will be classed as a big baby - 9lb and over and also the struggles I may have having a natural delivery. Has anyone any opinions and thoughts and what chances do I have of the hospital agreeing to induce my labour😌 thankyou