Just curious

I'm wondering how long it was after your baby dropped and was head down till you delivered? This is my first baby and I have a gut feeling she is not going to wait 6 more weeks... It looked like I dropped around 31 weeks and I'm now 34 weeks and she is head down will it be long now before I start loosing my mucous plug and go into labor or do you guys think she will wait the 6 weeks??