That’s according to promoter Eddie Hearn with Joshua fighting Joseph Parker at the end of this month.
Should the unbeaten heavyweight make it through that, then Wilder looms.
Both Joshua and Wilder are unbeaten in their professional boxing career.
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Joshua has won all 20 of his fights by knockout and is the holder of the IBF, WBA (Super) and IBO titles. Should he see off Parker, he will also earn the WBO belt.
Wilder is also a king of the stoppages, ending 39 of his 40 fights early.
Deontay Wilder holds the WBC belt (GETTY)
He owns the only remaining heavyweight belt, holding the WBC title since 2015.
Wilder stopped Luis Ortiz in the tenth round last weekend and if Joshua gets past Parker, all eyes will be on a unification bout.
Hearn told American media: “The fight with Anthony Joshua is unquestionably the biggest fight in world boxing and anyone that knows me knows how much I would love to stage a fight like that.
“The Wilder fight is the one. It’s the biggest fight in world boxing. If we can’t make the Wilder fight, then Anthony Joshua should fight in America next.
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Which fights has Anthony Joshua earned the most money from so far? (Getty Images)
“The options are that we go in August in America against someone and then Deontay Wilder, or straight into Wilder. But if we do Wilder it will probably be October, November, December.
“Also, if you know Anthony you will know he will fight anyone but for now there is only one thing on his mind – Joseph Parker in a spine-tingling unification match up on March 31.”
Joshua takes on Parker at the Principality Stadium in Cardiff on March 31 having last stepped into the ring in October.
That saw the 2012 Olympic gold medallist stop Carlos Takam, having first won the IBF title in 2016.