McIntyre defeated Lesnar at WrestleMania 36 and called out WBC heavyweight champion Fury after his historic victory.
In response, Fury ridiculed Lesnar, whose actual age is 42, and claimed he would have "set about" both wrestlers had he not been prevented from attending the event due to the coronavirus pandemic.
Fury has appeared in WWE before, defeating Braun Strowman at the company's Crown Jewel show in Saudi Arabia last October.
He thinks that experience will stand him in good stead to take on McIntyre, who became the first British world champion in WWE history.