The Liverpudlian defended his WBC world cruiserweight title by knocking out BJ Flores in three rounds on Saturday night with an impressive performance.
Having seen off Flores at the Echo Arena, Bellew made a very public address to Haye in the crowd and made it clear he would relish the prospect of going up against the Londoner.
"Those two guys you just fought were a joke and you're robbing everybody who pays to come to the arena," Bellew said.
"Listen, you predicted BJ was going to beat me, didn't you? You predicted he was going to beat me. He got smashed. And you're going to get smashed too.
"You know what, with 10oz gloves on boy, I'll put you and that pathetic haircut to sleep."