Joseph Parker. Photo: Getty Images
Duco Events director David Higgins has been quoted as saying Parker was eyeing up an opportunity to unify two of the four belts.
"Joe could be [at Joshua v Klitschko] to call out the winner for a mega-fight at Wembley in the late summer to unify the belts," Higgins told The Express in the UK.
"Any heavyweight worth their salt should be looking to unify the division and hold all the belts. When the belts aren't unified, the public are confused about who is the champion."
Joshua currently holds the IBF belt, while Parker won the WBO championship with his victory against Andy Ruiz Jr earlier this month.
The WBC - which ranks neither of the other champions in its top 15 - is held by Deontay Wilder, while the WBA belt remains vacant.
