Asked by Tantaros who would win in a cage fight, Steele said there was "no question" he would "clean his clock."

"Just one knock on the head. It's done," Steele said.

Priebus ousted Steele in a 2011 vote, and since then the former Maryland lieutenant governor has frequently critiqued his successor. Earlier in the week, Steele said Priebus was to blame for the party's current electoral struggles.