The Sharks, who have lost three straight games, are in second place in the Pacific Division, 12 points behind the Vegas Golden Knights and one ahead of the Anaheim Ducks.
Forward Pontus Aberg will make his debut for the Oilers, who acquired him from the Nashville Predators on Sunday.
Edmonton, which has won three straight games, trails the Los Angeles Kings by 15 points for the second wild card into the Stanley Cup Playoffs from the Western Conference.