The 36-year-old Canadian made the second defence of his strap on Saturday, stopping Tony Bellew inside six rounds in his adopted hometown of Quebec.
A lot of pre-fight talk was of a potential meeting with the Russian, who successfully defended his WBO belt in the chief support fight by knocking out Ismayl Sillakh in the second round.
He then told HBO that he wants 'Superman' next, but although the Haitian-born fighter did not rule it out, he said that his gaze is fixed on either IBF titlist Hopkins or IBF super middleweight champion Froch.
"The fans of Quebec City want Carl Froch or Bernard Hopkins," he said following the fight.
"Kovalev is a good fighter too. I don't have a problem with Kovalev right now, but the fans of Quebec City want Carl Froch and Bernard Hopkins. That's what the fans want."
Stevenson's professional record is 23-1 with 20 knockouts.