Fury is believed to have turned down the potential rematch against Wilder to build his profile in the United States on ESPN to make a pay-per-view fight against Wilder a bigger event.
There has been no indication yet as to who Fury will fight instead, however Kiwi heavyweight Joseph Parker's name was one suggested by ESPN yesterday.
Parker recently turned away a bout against Dereck Chisora, which was scheduled to be held in London in April, after manager David Higgins didn't see a contract.
"We've been trying over the last month to make it happen and have heard a lot of rhetoric but we still don't have a contract," Higgins told the Herald last week.
Higgins confirmed the Kiwi would be happy to take a fight against Fury should the offer arise.
"Some would say that would be the wrong fight for Joe next as Fury is a very tricky opponent. We kind of agree. Joe and I regard Tyson Fury as probably the best heavyweight in the world and the man to beat,.
"We think he's better than Anthony Joshua and Deontay Wilder. That being said, boxing is a risk and return business. Joe has two young children under the age of two… he has to set up everyone [financially]. Fury v Parker would be a massive global event."
Higgins also added there had been no talks between Parker's camp and Fury's about a possible fight.