Mucus Plug

Ma

I'm due September 24, but I'm pretty certain that I lost part of my mucus plug this morning. It was only a small amount of yellowish/clear slippery mucus (different from my normal discharge), but does that mean I may go into labor early? There was no blood and I'm not cramping. I was really hoping to at least make it to 38 weeks and I'm currently 35+3. Has anyone else started losing their plug? Has this happened early to anyone else and still managed to go full term?