WBA super middleweight champion Callum Smith (25-0, 18 KOs) is aiming to have a major fight at the end of May.
And former unified super middleweight and light heavyweight champion Andre Ward (32-0, 16 KOs) is one of the names on his short-list.
Ward retired from the sport in 2017, a few months after stopping Sergey Kovalev in their Las Vegas rematch in June of that year.
Smith has become a top player at 168-pounds after shocking George Groves with a knockout back in September to win the WBA belt in the final bout of the World Boxing Super Series.
As previously stated earlier this month, Ward has given no indication that he would unretire. And, it's not likely the undefeated Olympic gold medal winner would be able to make the super middleweight limit of 168.
If a fight were to happen, Smith would have to at least move up to the light heavyweight limit of 175-pounds - which he seems to be willing to do.
Several years go, Ward battered and stopped Callum's older brother, Paul Smith.
Smith's promoter, Eddie Hearn, would like to match him against former middleweight champion Gennady Golovkin.
Joe Gallergh, who trains Smith, says Ward, Canelo Alvarez and WBC 175-pound champion Adonis Stevenson are also on their list.
"That's what we're looking at [for late May], that's when Callum has said he wants to fight," Gallagher told Sky Sports. "He wants to fight at Liverpool in the stadium, the end of May next year. If you mention Canelo, well that's the man that beat the man. He's moved up to fight Rocky at the end of the year. If he wants to then come to Anfield next year and fight the No 1 super-middleweight in the world, Callum Smith, then now we're talking. That's a fight that motivates Callum Smith.
"Listen Callum Smith is ready to go and wants to challenge himself again, against the best in the world. The likes of 'Canelo', Andre Ward and Adonis Stevenson, they are the names that will get the juices flowing, that puts the fear factor into Callum Smith.
"If Callum beats a Canelo, an Andre Ward or Stevenson it will absolutely lift him to another level again."