Conor Benn does not sound confident he will be facing countryman Chris Eubank Jr. in the near future, but his latest appeal for that fight includes what would be a significant concession.

Benn, the rising 147-pounder from England, recently suggested he would be open to the idea of fighting Eubank at the middleweight limit - 160 - Eubank's natural weight class.

There has been heavy chatter about the two Brits possibly fighting each other later this year, but those talks seemed to have cooled considerably as of late.

In any case, pressed on the subject, Benn said he would have no issues meeting Eubank at 160.

"It will be a catchweight, I suppose," Benn said of fighting Eubank. "But I won't lose no sleep over fighting him at 160. I won't lose no sleep. At all. I'll fight him next if that got presented to me. I'll have that fight any day of the week, twice on Sundays."

Benn, however, noted he does not think Eubank has any interest in fighting him.

"I don't think he will take that fight," he said.

Benn is projected to fight on July 9 at the O2 Arena in London, but an opponent has not yet been revealed. It was reported recently that Eddie Hearn spoke with Top Rank Inc. about having their client, former junior welterweight titlist Jose Ramirez, move up to 147 and face Benn on that date.

The 25-year-old Benn (21-0, 14 KOs) has emerged in the past year as a strong contender to become the face of British boxing due to his heavy hands, brash personality, and lineage - he is the son of British boxing icon Nigel Benn. He has run through a slew of former contenders with relative ease, including Adrian Granados, Samuel Vargas, and Chris Algieri. Most recently, Benn starched Chris van Heerden inside two rounds.

The 32-year-old Eubank (32-2, 23 KOs), the son of Chris Eubank Sr. who shot to fame in the 1990s for his brawls with Benn's father, recently revealed that he met Benn backstage at an awards ceremony.

"I said, 'Listen, me and you can make a lot of money in the future,'" Eubank recalled Benn saying in an interview with IFL TV. "He said on the fight that he comes in 20lbs heavier than what he weighs in at.

"He was basically trying to say that he could physically fight, the weight difference wouldn't be an issue."