Promoter Ben Shalom believes that Liam Smith would prefer to fight one of Gennadiy Golovkin or Kell Brook.
Smith defeated Chris Eubank Jr. last month in a one-sided fourth-round stoppage, and while the losing fighter is expected to exercise his release clause, Shalom made it clear that Smith would prefer to move on.
"For Liam, he wants to look at the Golovkins now," he told Sky Sports.
"[Kell Brook] that's still a big name for Liam Smith. He feels like he's dealt with Eubank.
"He wants three more fights [in his career]. He feels he's in the best shape of his life, he feels he's boxing better than ever, he really wants to take advantage of the form that he's in.
"He wants to fight for a world title again. He'll deal with Eubank if he has to. Kell Brook, Golovkin, those are the sort of names he wants.
"It's Golovkin, Brook, Eubank rematch, I think those are the three obvious ones."