Peter Fury hopes his son Hughie, the cousin of heavyweight champion Tyson, will be considered for a title bout with IBF strap holder Anthony Joshua.
Joshua is expected to face IBO, WBA and WBO champion Tyson Fury, provided Vladimir Klitschko does not win a rematch between the pair, in an all-British title fight.
Olympic gold medalist Joshua has won all 17 of his professional fights by knockout, winning the IBF belt from Charles Martin in February before comfortably defending it against Dominic Breazeale in June.
Joshua's next fight is expected to come in November, with the younger Fury hoping to provide stiff opposition after recovering from surgery to fix a skin condition.
Peter Fury, who trains Hughie and Tyson, told Sky Sports: "Hughie is in a good place. He's turning 22 in September, had 20 fights and he's a lot better physically and in terms of health than he was.
"He's ready to face these kind of fights and there's no reason why they can't happen. He'd be the most technically proficient fighter Joshua has faced by a mile.
"A lot of people have underestimated him on his past performances because he's been struggling with the health issues and as a result was performing at 30-40 per cent.
"We've got confidence in him. We know what he's capable of doing. He's an excellent boxer and he's very, very tough as well. He's good at doing rounds so it'd be interesting.
"I know [promoter] Eddie Hearn has some other options available to him that he mentioned when we spoke, and I'm waiting for them to get back to me but as long as the finances are right then we'll take it."