Holyfield (left) has beaten Tyson in their two fights
Evander Holyfield has told BBC Hereford and Worcester that he hopes to fight fellow ex-heavyweight champion Mike Tyson in July.
The prospect of a third fight between former world champions Holyfield, 45, and Tyson, 41, has courted criticism.
But Holyfield told the BBC's Inside Sport programme: "It's up to me as an adult what I want to do.
"Tyson wants to regain his character. Both of us want a good showing - so the best man would come out on top."
Holyfield beat Tyson for the heavyweight crown in 1996 when the pair met for the first time.
They met again a year later when Tyson was disqualified for infamously biting Holyfield's ear.
"It was my choice to forgive him," said Holyfield. "I forgave him that same night he bit me.
"I had to forgive him because it would make me want to do something bad to him."
British heavyweight Danny Williams told BBC Sport last week that any Holyfield-Tyson rematch would be "a freak show", and "an insult to everybody's intelligence".
Another critic of a Holyfield-Tyson bout is former undisputed world heavyweight champion Lennox Lewis, who beat both of them.
"I wouldn't give Tyson a hope," he said.
"Evander's obviously the better fighter but I'd rather see him do something else. Why fight the same fight again? We all know who would win."
Lewis, 42, told BBC Radio 5 Live's Sportweek programme that a third bout between the Americans would simply be "an entertainment ploy".
Lewis now works as a TV presenter and is a respected boxing pundit
He added that his fellow former heavyweight title-holders would also be putting their health at risk.
"There's always a danger every time you step into the ring with a man who weighs over 200lbs and is throwing hard punches at you," he said.
"But one of the reasons that made me quit is the things I used to do at 20, I couldn't do any more when I got to 40."
Lewis, has resisted any temptation of his own to return to the ring since retiring in 2004.
But he admitted: "When I see certain fights I'm thinking 'these guys, what are they doing? They need me to go in and show them how it's done'.
"I get that urge once in a while, but I understand what happens as you age, and I've moved onto other things."
Tyson, who is beset by financial troubles, last fought in November 2005, when he lost to Ireland's Kevin McBride.
Holyfield, however, fought for the WBO heayweight belt as recently as last October, when he was outpointed by Russian holder Sultan Ibragimov.
"I have to figure out a way of how to put myself back into position to fight for a world title again," he added.