Membrane sweep question

Tess • Nari Lyn 11/13/17🎀Emma Rose 3/17/19🎀Pierce James 9/28/20

So Im 38 weeks and 1 day with my third, last I was checked I was told Im 3cm and still a little thick. I haven’t been getting too many contractions that I’ve noticed, just some bad back pain. I was considering bringing up a membrane sweep at my appointment this Thursday if I haven’t dilated anymore or gone into labor by then and I was wondering if it hurts? I have a good pain tolerance but down there is a bit sensitive 😅 this is the longest I’ve been pregnant and oh my gosh Im so sore I can’t walk!