Low-lying placenta

At my 20-week appointment I was told I had a low lying placenta. I just had my 32 week US and the tech said my placenta is still low (2.75-2.8 cm away from my cervix opening). My doctor is supposed to go over the results with me more in-depth in a few days.

Has anyone had a low-lying placenta move away from their cervix in the last 8 weeks of pregnancy? I left my appointment crying because I really want to have a natural vaginal birth experience.