A rematch against Bivol is an option Lou DiBella is not interested in.
"I don't really want to see a rematch between Bivol and Canelo. I really have no desire to see that fight," the promoter told Planet Sport.
"I don't mind the Canelo fight with GGG - the last two fights certainly warranted a third fight though I really favour Canelo strongly in the third fight.
"I have a hard time seeing GGG winning but he looked pretty damn good in the second half of his last fight.
"Canelo did not have a great performance against Bivol so if the fight is ever going to happen then now is the right time."
Light heavyweight division
As it stands, Dmitry Bivol is the WBA champion while Artur Beterbiev is the unified king with the WBC and IBF belts.
Beterbiev - undefeated from 17 fights - will face WBO titleholder Joe Smith Jr next month in a unification.
Lou DiBella - who previously promoted Smith Jr - is hoping the division can see an undisputed champion crowned later this year.
"I want to see Artur Beterbiev and Dmitry Bivol - that's the fight I want. Right now, I want to know who the best light heavyweight is and right now it's out of them two so I want to see the two of them fight.
"Canelo is not a light heavyweight and has never been a light heavyweight. [Sergey] Kovalev had some issues and other personal problems when he fought Canelo and Canelo is not the best light heavyweight.
"Canelo is one of the best pound for pound fighters in the world, he's been the best in a number of weight classes. I believe right now he's the best at 168 until proven otherwise but he's not the best light heavyweight and that's going to be determined when the winner of Beterbiev and Smith fights Bivol.
"Bivol has already beaten Joe Smith so I think if Betebiev beats Joe Smith the best way to determine the (best) light heavyweight is Beterviev vs Bivol."