Anthony Joshua AIN'T DUCKIN' Deontay Wilder or Tyson Fury ... the heavyweight champ wants to fight the winner of the rematch -- by the end of 2019!!
TMZ Sports talked to Eddie Hearn -- Joshua's promoter -- after he announced AJ's fighting undefeated heavyweight star Jarrell "Big Baby" Miller June 1 at MSG in NYC ... his first fight in America.
Hearn says Big Baby is a big, tough dude who could actually beat Joshua ... but if the British superstar does survive, he's got his sights set on Wilder and Fury.