I don't think there would be a problem now. Your technically full term so even if sex does rush it along your baby shouldn't have any problem coming out now.
Cupid, I'd go for it. I just made 37 weeks and I told bf either we have sex tonight or we fight, you choose. I got the sex. I'm hoping that whole cervix softening thing works. Good luck.
Does sex really cause that? I didn't have sex with my son or now with my daughter my entire pregnancy and I am 3cm dialated an 50% effaced already. An like I said thats with no sex lol I think babies just come when they wanna.