On Tuesday's Watch What Happens Live, when a viewer asked if she was dating the Kingdom star, Hudson initially laughed and then added, "I don't like addressing any kind of gossipy stuff. My agent has been my mystery man maybe 25 times. You can't hug someone or talk to someone without it ending up being a thing."
Watch the full clip, which includes Andy Cohen passionately wishing that the two end up together.
Watch What Happens Live airs Sundays-Thursdays at 11/10c on Bravo.