Baby due June 10th but will she come early ??

I am 33w 1d I had a ultrasound to check up on growth and the doctor told me that my baby a measuring at 34w she is also weighing 4.6lb and I was told that’s heavy for how far she is along, I’m just wondering if that means that she’ll come earlier, my doctor said if I’m still pregnant at 38w she will do a membrane sweep for me to try to start off labour but the way she’s talking is like she feels like I’ll have my daughter before 38 week what do u think ??