The 27 year-old, who is aiming for a repeat victory over Klitschko in Manchester on July 9, has consistently been linked to facing Joshua since the Londoner picked up his old IBF title belt against American Charles Martin.
Fury was stripped by the International Boxing Federation for failing to meet Vyascheslav Glazkov earlier this year and Martin went on to stop the Ukrainian in January before losing out to Joshua in his first defence.
Dropping the belt without having the chance to defend it angered Fury, who has since labelled anyone holding the championship as a fake world title holder – insisting rightly that he is the real and only IBF ruler.
Asked directly about the possibility of regaining his title in a massive UK battle with Joshua at Wednesday’s gathering, Fury said: “Considering we’re not here to talk about someone else with a plastic belt, we’re just going to move on. It is an insult to ask the question.”
Deflecting any further questions, he added: “I’m already number one. Where do I go from here? Look for some more big fights. This is the Tyson Fury show. Some people like it, some people don’t.”
Joshua is set to defend against Dominic Breazeale in June before a mandatory outing against Joseph Parker or Carlos Takam, which leaves Fury with plenty of time to debate the contest should he silence Klitschko once again this summer.
Any Fury v Joshua super-fight would be most likely to take place at Wembley Stadium between June and August of 2017 in order maximise the potential revenue to be made from what will be one of the biggest fights in British heavyweight boxing history.
