There had been numerous reports that the Watford-born bruiser would face the winner of the epic showdown on Sunday morning.
And after the controversial split decision there were question marks over what the next move was for the IBF, WBA and WBO champion.
Fury boxed brilliantly to deny Joshua of his Wilder-win prediction – and the Gypsy King labelled him a "chicken" after the fight.
And now Joshua has trolled boxing fans by liking a tweet suggesting he won't fight either of the pair.
The tweet wrote: "He will say he’s disappointed as the rematch will happen first but in truth I believe he will be happy.
"He didn’t want to fight wilder and won’t face fury, I personally don’t think he could beat either!"
Joshua, 29, has remained silent since the result of the fight, which he said he did not watch due to business commitments.
And his silence has unquestionably sparked outrage on social media.
And since the fight, Fury's promoter Frank Warren has said the Manchester fighter is now the "Boxing King".
And Joshua's promoting kingpin Eddie Hearn, like much of the boxing world, said he was baffled by the decision of the bout.
He tweeted: "Big respect for Fury to get up there – got him winning this.
"The main thing I’ve got to say is how can a judge score that 115-111 to Wilder."
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