Five-weight world champion Claressa Shields (18-0, 3 KOs) could be set for a super-fight against the UK's unified welterweight world champion Lauren Price (10-0, 2 KOs).
The American star is currently preparing for a world middleweight title fight against Kaye Scott on August 15.
31-year-old Shields appeared in Cardiff for a face-off with Price in April, stoking up expectation that a fight could be finalised between America's multi-weight world champion and the unified welterweight titleholder from Wales.
The fight is yet to be confirmed and Shields is currently preparing for a middleweight fight against Kaye Scott for the WBC and WBA titles on August 15, but her promoter Dmitriy Salita is hopeful that a deal can be agreed.
"When Claressa went to Wales, we believed we had the framework of a deal in place, and we're still operating in that spirit," Salita told Sky Sports.
"I believe we're close. Claressa is moving down to 160lbs because she wants to make this fight happen. She's already accomplished so much but she's always looking for the biggest global fights.
"She wants to face the best fighters and continue helping women's boxing reach new audiences around the world.
"Lauren is an outstanding fighter and an Olympic gold medallist. This is one of the biggest fights that can be made in women's boxing and we're confident it will happen.
"Claressa has always done her part to make the biggest fights possible and this is no different. We're ready to continue the discussions."
Southpaw Price is yet to announce her next fight since she retained her WBA, WBC and IBF welterweight titles with a wide decision win over Stephanie Pineiro Aquino, with Shields researching from ringside.
The skilful Brit has welcomed a showdown with Shields at a higher weight, but the Michigan boxer will firstly attempt to add another historic feat to her lengthy list of achievements.
"Right now, Claressa's full focus is on August 15 [for her fight against Scott]," said Salita.