Anyone dilate early and deliver early?

I'm a FTM, 37w & 1d, and yesterday I went for a scheduled OB visit and my doctor said I am 3 cm and 75% effaced and baby is head down and ready. My doctor considered inducing me because of high blood pressure, but we got it controlled with medicine so she said it was safe to let baby grow a bit longer. She said she might induce me Aug 3, if I don't go sooner. What is the likelihood that I will go sooner? I've had a few contractions, but nothing timable or strong. Any opinions?