Crawford, 37, beat Canelo, 35, by unanimous victory in their Las Vegas bout earlier this month, and although Davis doesn’t think a rematch is necessary, the trainer has argued Bud would “stop” his opponent in a hypothetical second fight.
Speaking to MillCity Boxing, Davis said: “I think we could stop him the second time. I think it’ll be worse because I feel a sharp Bud Crawford, I don’t think Canelo can hurt him.”
The assistant coach added he didn’t see “any calls for a rematch” because Bud had “handled” Canelo in their fight.
He said: “None of the s*** that he [Canelo] was doing worked. He thought Crawford was going to run like William Scull.
“He thought Crawford couldn’t hurt him. I don’t see any calls for a rematch because Bud handled him.”
Terence Crawford’s victory over Canelo made him the first male boxer in the modern era to claim undisputed titles in three different weight divisions: junior welterweight, welterweight and super middleweight.
Although the achievement was historic, Bud - who moved up two divisions to face Canelo - suggested his next step could be to drop back down.
Speaking after the fight, he said: “I’m going to sit down with my team, and we are going to discuss what is next in the future for Terence Crawford. Who knows? I might go down to 160lbs.”
Crawford called the win “definitely one of the greatest moments of [his] career”.
Reflecting further, he said: “It feels great. I’m just sitting back, enjoying my victory.
“It definitely was one of the greatest moments of my career.”
When asked if this represented the defining moment of his career, Crawford admitted it was “tough” to choose, highlighting the significance of becoming the undisputed light welterweight champion in 2017.
He explained: “This moment [beating Canelo] was huge, but something about that first one – this little poor kid from Omaha, Nebraska, set his sights out to be a world champion and had to travel all across the world to become world champion.
“And on one night, all of the dreams came true. Those two moments are definitely special.”