Joshua, 30, owns the WBA, IBF and WBO titles while Wilder, 33, reigns as the WBC champion, meaning a fight between the pair would crown an undisputed heavyweight champion.
Talks between the two camps exhausted over the summer with the champions going their separate ways.
Wilder and Fury fought to a controversial split decision draw last weekend which saw the American hold onto his title.
Speaking to Express Sport, former unified light-welterweight world champion Khan, 31, said he believes Joshua fears Wilder, who has 39 knockout’s in 41 fights.
Khan said: “One thing about fighters, the fight would have happened if [Joshua] wasn’t scared of him. Maybe he has a little bit of fear in him – that's why the fight never happened.
“I think maybe they’ll both take an easier fight in between.
“Because sometimes what we see is two hard fights on the trot can take a lot out of a fighter.
“Get the confidence back, take an easy fight, little work, go back to the hard fight again.
“As I’ve been told by many trainers, many experienced trainers – they say: ‘Never jump into a hard fight again.’”
Despite Khan’s claim both Joshua and his promoter Eddie Hearn expressed their interest in a fight with either Wilder or Fury.
Joshua tweeted: “What took this fool (Wilder) so long? Like we ain’t been interested?
“Anyway well done Fury! they wanted to get you because they assumed you was finished!”
In spite of Joshua’s social media call out, Wilder claims he is more interested in a rematch with Fury.
Wilder said: “We can't get away from this fight. It's only right for us to go back in and do it again.
“I don't want no other fight to happen. He don't have to worry about me moving past him, and I hope he don't have to go fight no one else.
"Some people feel I don't want the rematch. Why would I not? I'm the baddest man on the planet.
“Whenever he's ready, I'm ready. I don't want no one else but Tyson Fury. I think the fans deserve the rematch.”
For Khan, he revealed to SunSport that he has been offered a fight against WBO welterweight world champion Terence Crawford.
Khan said: “I’ve just been offered a big deal with good money to fight in America against a tougher fighter, a bigger name.
“I was quite surprised myself but when it came I am obviously going to look at all avenues.
"If it is to be something like Crawford then it has to be done in the [next] 10 days, two weeks, definitely.
“Do I stick with the Kell Brook fight –which I know will always be there- or do I take this next big fight, which might not be there for me.
“They’re both great fights but the person in America is a bigger fight, a bigger name – not in Britain but around the world.
“When will I ever get the chance to fight for a proper pound-for-pound title again – it will never be there. Brook will always be there.”
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