Urges to push while having Braxton Hicks

Ok so I’m about to be 33 weeks. This is my 5th pregnancy. I know the differences between Braxton Hicks and contractions in actual labor. I have Braxton Hicks that comes and goes. They’re painless, and I’ve had them for a while now. But for the past couple of days I can feel the Braxton Hicks in my vagina so it feels like I have urges to push. Anyone else experience the same thing? Keep in mind this is not a labor as my contractions isn’t few minutes or so apart. It varies every few hours.