Kyle Brodziak scored in the sixth round of the 2.
Brodziak and Devin Setoguchi scored in the second period for the Wild, who have won two in a row since a two-game skid. Niklas Backstrom made 28 saves.
Jordan Eberle and Ryan Nugent-Hopkins each had a goal and an assist for the Oilers, who have dropped three straight games. Nikolai Khabibulin turned aside 27-of-29 shots.