Big baby possible section ???

Anyone have experience or positive story with this. I am 38 + 4 went for my apt today. They said the baby is big right now high 8 and I am not dialated and no signs of labor. Basically if I do not go on my own in the next week and the baby gets to much bigger they will do a c section on me which I do not prefer obviously. Also said if he had to guess I will be at my apt next week which was s bit discouraging. Anyone go into labor on their own after hearing noting going on or also get section due to large baby ???