"Sonny is really excited about the idea of fighting Barry, Khoder tells me," Green told the Sydney Morning Herald.
"Both these guys don't want to lose to each other. They have both requested they have a fight beforehand, so why don't we put them on the same show?
"It's great from a viewership perspective and ensures both athletes are in the best condition when they do fight each other."
Green expects the star-power of Williams will attract a massive audience for a bout which he believes will be highly competitive.
"The fact that Sonny Bill is going into another sport again, it's going to create a lot of noise and a lot of hype because he is a juggernaut. The fact these two behemoths are going to get in there and get it on, it's very exciting.
"Sonny Bill has also proven himself as a boxer, he has acquitted himself extremely well. Putting him in against Barry, who proved in his first professional bout that he has got the skills, it is going to be huge."
