Mayweather, boasting a 43-0 career record and fighting Robert Guerrero on May 4, could, depending on results, take on Amir Khan in a stadium venue in the summer of 2014.
A fight has long been mooted between the two, but would be dependent on Khan restoring his reputation in the division. The Bolton-born fighter is likely to face the winner of a proposed bout between Lamont Peterson and Danny Garcia at the end of the year.
Regardless of opponent, though, Mayweather appears keen to perform in front of a UK audience.
His advisor Leonard Ellerbe said: “Floyd cannot wait until we can come over there and give the UK fans a big, big fight.
"Floyd has a tremendous fan base in the UK and we're looking at working on something now where he's going to come over there.
"Ever since the Ricky Hatton fight back in 2007, UK fans have been very loyal to Floyd and he definitely acknowledges that and he wants to bring a big, big event to the UK.
"There's definitely a very strong possibility that Floyd will fight in the UK. We'll see how this thing plays out, his focus is Saturday night and then we'll go from there.
"But we're definitely going to bring a big, big event to the UK.”