Person is lying about our sex life

So i’m hooking up with someone (not sexually) but we’re dating and kissing. i’m F (25) and he’s M (29). I find out from a friend that he’s been telling everyone in our friend group that we had sex when we never did. It’s not something i’m comfortable with so we haven’t. we have definitely flirted and gotten a little saucy, but the man has never seen me naked. I don’t know if I should just cut him off without warning or talk to him about it because i know he’ll probably deny it if i confronted him.