Carrying high 38w?

I know my doc said that some women don't drop right until labour (happened to a cousin) buttttt still a little nervous. Anyone else in this position? Or anyone else ever been in this position and veen fine? Only reason is that I'm tall and baby is big (we tend to have 9-10lbs babies in my family). ..terrified of having to get induced or a scheduled c-section if this keeps on for longer....