Fury, meanwhile, announced his retirement from the sport after successfully defending his WBC heavyweight title last month against Dillian Whyte at Wembley Stadium on April 23.
AJ, 32, activated his rematch clause after surrendering the WBA, IBF, WBO and IBO belts to Usyk back in September.
But Holmes says that result only proved Joshua is like ‘a ripe tomato’ ready for picking.
He told The Telegraph: “Anthony Joshua, he hasn’t really shown a lot.
“He’s like a ripe tomato. He might have it. But who has he fought?
“I’m not going to knock him, and say he’s a bad fighter.
“To be called great, you need to be compared to some truly great fighters, and he hasn’t got that far yet.”
Fresh off his victory over Whyte, Fury, 33, recently returned to the UK after enjoying a vacation with his family in the south of France.
And Holmes has also given his honest assessment of the Gypsy King. The former heavyweight world champion admits that he doesn’t think he is anything special.
He said of Fury: “Same thing. Guy who’s big, nice size, strong.
“It would have been an interesting fight, me and him, but I have change-ups, going in, or staying out. Side to side, switch hitting.
“Look, I’m happy with all the gifts I was given, I can’t complain.
“I don’t like to knock nobody but I like to tell the truth.”
This isn’t the first time that Holmes has claimed that they wouldn’t have a hope of beating his class of legends, including Muhammad Ali, George Foreman, Earnie Shavers, and Michael Spinks.
Speaking to Fight Hub TV earlier this year, he said of the pair: “They don’t have no skills.
“They don’t know how to throw one, two and move out to protect yourself.
“The fighters today are not the fighters when I fought. We fought the top 10, we didn’t duck nobody.
“Today these guys don’t want to fight – you want to make some money, you’ve got to bring it to them, you’ve got to make these guys fight.
“Fury can’t move like Larry Holmes – you’ve got to give punches, you shouldn’t take punches.
“And that’s what he does, he takes punches, I guess that’s what he wanted to do, prove to people that he can take a punch.
“The game of boxing is hit and don’t get hit.”