WBC welterweight champion Carlos Baldomir is close to pricing himself out of May's proposed showdown with Manchester's Ricky Hatton.
Hatton may seek another opponent for his Stateside debut
Baldomir is the preferred opponent for WBA and IBF light welterweight champion Hatton's first fight in America.
Hatton's father and manager Ray told BBC Sport: "I'm all for boxers getting well paid, but you have to be sensible.
"It's not quite dead in the water. We're going to give him another chance, but it's not looking good."
Ricky Hatton is currently in New York giving evidence at a court case in which his former manager Frank Warren is suing the World Boxing Association for £3m.
Warren claims his boxer Souleyman M'Baye was entitled to fight Carlos Maussa before Hatton beat him last November.
Hatton senior insisted Baldomir's stance will not affect the Mancunian's breakthrough Stateside fight at Foxwoods Casino in Connecticut.
Baldomir put himself in the frame for a lucrative date with Hatton - who would have stepped up a weight - by surprisingly dethroning WBC champion Zab Judah in January.
Hatton's stable will look elsewhere for an opponent and the winners of a bidding war between American television networks HBO and Showtime will decide the date.
Ray Hatton said: "We have offered Baldomir what we think is a good deal, but enough is enough. He's close to pricing himself out of the market.
"But Ricky's debut in America will go ahead. The venue is booked, and the date will be decided by one of the TV networks."
Hatton is due to return home on Friday and his father claimed he had turned the disruption in his training to his own advantage with a series of personal appearances.
Ray Hatton said: "Ricky likes 12 weeks of solid training before a fight but the silver lining is that he has taken the place by storm.
"He's done personal appearances on the big television networks, had breakfast with the journalists from the big papers and everyone has been won over by his wit and the way he makes himself accessible to the media.
"By time he gets back in the gym he will be behind in his training but things have worked out well as he's got some fabulous PR."