Fury, who still holds the unofficial "lineal" heavyweight title (the man who beat the man), announced his long-awaited comeback at a press conference on Wednesday.
The former world heavyweight champion has signed with promoter Frank Warren, who announced the Manchester Arena fight on Thursday.
Joshua, 28, is now more concerned about making a fight with American Deontay Wilder, the WBC champion, who has been offered £8.8million to agree to a clash for all four major heavyweight titles.
Joshua profited heavily from the stripping of Tyson Fury, with the lost belts being made vacant.
Fury ballooned as high as 378 pounds during his two-year layoff and is hoping to get down as low as 259 pounds for his return.
Fury said of his unusual rehab after being diagnosed with mental problems: "I had a good few nights out, having a good time after boxing since I was six years old".
"Deontay Wilder at the moment is the top of the pile because he's risky right up until the last seconds of a fight", Fury said.
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The complaint said Mills was White's father's girlfriend but noted that Mills went home with White the night before the murder. The glove Mills was wearing when she was arrested matched one found in White's bedroom, according to The Associated Press .
Tyson Fury will fight for the first time in almost three years when he returns to the ring in Manchester on June 9. "The reflexes are as good as they've ever been".
Fury may have to wait for his chance to face Joshua, who is also due to face WBA mandatory challenger Alexander Povetkin, of Russian Federation, if he wants to keep all of his belts.
"He's going to be busy".
And, Fury seems to have upped his gym routine in quest to get back in shape as he took to his official Instagram account to share a few clips (stories) from his workout routine.
"[Joshua] is an exciting fighter but I'm confident when I get in that ring, I will win".
"He needs to be fighting fit, he needs to get those round under his belts". "I kid you not".
He added: "I'm ready to fight, if Frank said we're going to fight this weekend, I'm ready". I've been as low as anyone man can go and as high as any man can go.
"It hasn't been frustrating [on Joshua], I just have to congratulate the fella, he's done very well".