Spotting at 30 weeks

I've been spotting lightly for 4 days. My OB said the reason is most likely because when you get closer to the end of your pregnancy your cervix starts to thin out and that's probably what's starting to happen. And your cervix starts to get more sensitive. I thought that your cervix starts to thin out the closer you get to labor? I'm only 30 weeks and 1 day. This is worrying me!