No boxer has simultaneously held the WBC, IBF, WBA and WBO world heavyweight belts, and Wilder is a future target for Joshua.
The event is part of Premier Boxing Champions.
Ortiz tested positive for chlorothiazide and hydrochlorothiazide, known to be masking agents for performance-enhancing drugs, in a random urine test conducted by the Voluntary Anti-Doping Association as part of the WBC's Clean Boxing Program.
"The Bronze Bomber" will instead face Ortiz (28-0), who lost his shot at the title on November 4 when he failed a drugs test and was replaced by Bermane Stiverne.
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These triggered the resignation of education secretary Justine Greening and were branded a "lacklustre PR exercise" by Labour . The Northern Ireland secretary, James Brokenshire , has resigned because he needs surgery for a lesion on his right lung.
Unbeaten Ortiz returned to the ring in December, taking Daniel Martz out in two rounds. "I think you're one of the best heavyweights in the world and I want to prove that I am the best. I blessed you with the opportunity and you messed it up". Luis Ortiz, you will have the fight.
"We are thrilled to welcome the heavyweight champ back to Barclays Center for his second-consecutive fight after a big first round knockout of Bermane Stiverne in our ring last November", said Brett Yormark, CEO of Brooklyn Sports & Entertainment.
The victor of the contest could very well land themselves an opportunity against the victor of Anthony Joshua v Joseph Parker in a contest for all the belts available in the heavyweight division, with the proposed clash anticipated set for the March 31st in Cardiff.