Ngannou, 35, has been locked in a contract stand-off with the UFC for some time.
Following his win over Ciryl Gane, the Cameroonian accused the world’s premier mixed martial arts organisation of unfair treatment, claiming ‘I don’t feel like I’m a free man‘.
And Rogan hopes Ngannou does get the chance to fight Fury so he can earn a ‘giant chunk of money’.
Rogan said on his podcast ‘The Joe Rogan Experience’: “I want to see him box. I mean I don’t want to see him box because I don’t love seeing him fight in MMA. I love seeing him fight in MMA.
“I want to see him box because I want to see him get a giant chunk of money – like, Conor McGregor-style, Floyd Mayweather chunk of money.
“Because when Conor fought Floyd Mayweather, he made $100 million dollars. I think that’s nice. I would love to see that.
“If he fought Tyson Fury, how much money would they be able to make? It would be crazy.”
Rogan was sat cageside as Ngannou defeated Gane to retain the UFC heavyweight title in California.
The American comedian has been a part of the UFC since its humble beginnings in the late 1990s.
On the subject of fighter salaries, he added: “I don’t know. It’s off the pay-per-view. It’s off what they could sell.
“Obviously, it would have to be very marketable. Tyson Fury is very marketable. Francis Ngannou is very marketable, especially him as a UFC heavyweight champion going up to fight in boxing.
“And it would be weird to see Tyson Fury like a legit 5 inches taller than Francis Ngannou because that’s what it would be. Oh yeah, Tyson Fury is 6 ft 9. I think Francis is 6 ft 4 or 6 ft 5. I’m not sure.”