The Gypsy King announced his retirement from the ring earlier this year but his manager is confident that he would return for a chance to exact revenge for his two defeats against the Ukrainian in 2024.
Brown told Boxing News: "He's retired, but you never know with Tyson Fury.
"He's an enigma, isn't he? I said a couple of tongue-in-cheek things last week.
"Tyson says stuff. Without him, it's not as fun as it was with him. He is enjoying himself at the moment, he's got a lot of work on.
"But if he gets his head around and he is happy, then maybe you will see him back.
"If there is enough money there, it's all about risk and reward.
"But I think he would come out for Usyk. You'd have to give him a lot of money for that one, but I think he would come out for Usyk."
Fury recently took to social media to hint that he could be making a return to the ring as he posted footage of a gym session with his coach SugarHill Steward.
Fury said: "Just in the gym, I bump into somebody you might know."
Steward added: "We’re back guys, you know what time it is."
Fury then said: "You know what’s coming."
The former world champion's promoter Bob Arum previously suggested that he didn't expect the Brit to get back in the ring as he has accomplished it all in boxing.
The Top Rank chief said: "If I was a betting man I would say he will never fight again.
"Marvin Hagler had an expression - 'A rich guy who goes to bed wearing silk pyjamas doesn't get up in the morning to do road work.'
"Tyson, really, I don't think wants to get up in the morning and do road work and go through the experience of having to train when economically he doesn't have to do it anymore."