However, the American said he never resorted to dirty tactics, suggesting his chances of getting a fair go from a New Zealand referee were diminishing by the second.
"He's painting the picture that I'm a dirty fighter," Minto said of Lonergan. "Every little thing that looks like an infraction he [the referee] is going to take a point. And this is what I don't like - they're going to keep me from fighting my fight. When I get to the inside I'm always going to use shoulders, and my head, but if they take that away then ...
"Look, they're risking everything and they even said it. Deep waters - is Joseph ready for deep waters? We'll soon find out."
David Higgins, a colleague of Lonergan's at Duco, later said he was "relaxed" about the refereeing issue.
"We'll probably look to fly someone in from overseas."
Barry's concerns about Minto's style have been heightened by the cuts Parker suffered around his left eye in his last two fights against Afa Tatupu and, most recently, Marcelo Luiz Nascimento in Germany.
"That's definitely not to be taken lightly," Barry said. "It is serious, especially when you've had a cut like Joseph had against King Afa and then opening up a bit in that last fight. We can't afford to have three fights in a row with cuts and yet we're up against a guy who cuts a lot of his opponents by the way he fights. This is Joseph's most important test and he has to follow the programme and stay in control of his distance and if he doesn't then there's every chance he's going to get cut."