Speaking on the UFC Unfiltered podcast, White said the former UFC women's bantamweight champion is interested in fighting the current Invicta and former Strikeforce featherweight champion.
"Ronda wants to fight her," White said. "We'll have to figure out at what weight to fight. But Ronda wants that fight. ... Ronda could do 40."
A Rousey-Justino fight has been discussed since the day when both were competing in Strikeforce, with Rousey as bantamweight champ and Justino at featherweight. Rousey's star exploded in the UFC at a time when Justino was under suspension for a PED violation.
Rousey (12-1) used Cyborg's history to demand Justino come down to 135 pounds. Justino (17-1, 1 NC), since signing a contract with Zuffa, has fought her last two bouts at 140, looking gaunt at weigh-ins before defeating opponents Leslie Smith and Lina Lansberg, respectively.
Despite the trials in getting down to 140, Cyborg has indicated a willingness to do it again for the biggest fights. White's comment is the first indication Rousey, who has not fought since losing the title to Holly Holm last November, might be willing to meet in the middle.
What won't happen, according to White, is opening a women's featherweight division. White said the division just isn't deep enough.
"I don't think so, I think, first of all, there aren't enough 145-pound female fighters to start a 145-pound division," he said. "There just isn't. You know? Cyborg is this one girl floating out there who had that type of star power. She headlined Brazil for us."