Karlsson scored 40 points (six goals, 34 assists) in 56 games this season after scoring 45 points (three goals, 42 assists) in 2018-19.
"Erik has been able to put a lot of work in," Wilson said. "Talked to him yesterday, he sounds great. He wishes he was here and we were playing games today. I think you're about to see Erik Karlsson be one of the dominant players in the game again."
Wilson also said Sharks forwards Tomas Hertl and Logan Couture are healthy after being injured when the season was paused.
Hertl was out with a torn ACL that required surgery, an injury he sustained against the Vancouver Canucks on Jan. 29. He scored 36 points (16 goals, 20 assists) in 48 games.
Couture was injured against the Colorado Avalanche on March 8 when a deflected puck hit him in the face. He also missed 17 games, from Jan. 9-Feb. 23, with a fractured ankle. He scored 39 points (16 goals, 23 assists) in 52 games.
"Getting them back rested on top of their game is the most important thing for us," Wilson said. "Your best players have to be your best players. It allows everybody else to slot down in the roles properly for them. That's a key to us."