Davis, who holds the WBA lightweight world title, was initially hoping to make a long-awaited unification with IBF champion Vasyl Lomachenko next.
However, Loma has opted not to fight for the remainder of 2024.
Therefore, WBC lightweight world champion Stevenson has now entered the frame to face Davis next.
This week, it has been claimed that a fight between the pair is a done deal and set for November 23.
However, this is not the case.
Stevenson took to social media to respond to these rumours, tweeting: “This is fake.”
Davis shortly beforehand tweeted a picture of a cap, also suggesting the news wasn’t true.
The fight may yet materialise with talks believed to be quietly ongoing.
As things stand though, it’s clear no deal is done.
The news that Lomachenko was walking away from negotiations to fight Davis certainly shocked the boxing world.
It’s understood talks between long-time promotional rivals Bob Arum’s Top Rank (who promote Lomachenko) and Al Haymon’s PBC (who represent Davis) were going well.
However, the Ukrainian himself decided to step away from the negotiations.
“Loma is not in the mood right now,” his manager Egis Klimas told boxing reporter Steve Kim, “He doesn’t have the motivation at the moment.