Kell Brook and Amir Khan could meet in the ring as early as May 2017, with promoter Eddie Hearn confirming that the pair are "in talks" over a possible bout.
The fighters engaged in some social media sparing on Wednesday, with Khan asserting that he would be the next man "to smash Kell Brook's face", a jibe which Brook responded to by saying that he would like to "send [Khan] back to sleep".
Hearn told BBC Sport: "There's a good chance of it [the bout] happening."
He added: "Amir wants it to happen, so does Kell. We want to put a fight on for the fans."
Khan (31-4) has not fought since his knockout defeat to WBO light-middleweight champion Saul Alvarez in May. Brook (36-1), the reigning IBF world welterweight champion, would come into a bout with Khan having suffered defeat to Gennady Golovkin in a middleweight fight in September.
While the match-up is a tantalizing one, Khan has said that he would consider it to be nothing more than a "tune-up" fight.
"That fight between me and him can happen, I mean I do consider it," Khan told Badlefthook.com.
"I don't mind having that as a tune-up fight – the Kell Brook fight – before I go into big fights, so we in talks, I've left it to my team. I have a great team in the UK now."