Paul Konerko hit a tiebreaking drive in the eighth inning for his major league-best eighth homer and the White Sox beat the Seattle Mariners 3-2 on Sunday to complete a three-game series sweep.John Danks pitched eight sharp innings, allowing two runs and eight hits. Danks (3-0) was coming off a strong eight-inning outing in a victory over Tampa Bay.After consecutive days of game-ending homers by Andruw Jones and Alex Rios, Konerko connected against Brandon League (2-1) to put the White Sox ahead 3-2. He has homered in three straight games.Franklin Gutierrez went deep for the Mariners, who absorbed its first three-game sweep of the season. Seattle came to Chicago winners of seven of eight.After striking out the first two batters in the eighth, Danks allowed consecutive singles to Ichiro Suzuki and Chone Figgins, but he ended another strong start by getting Gutierrez to fly out. He has allowed five earned runs in 29 innings this season for a 1.55 ERA.Bobby Jenks worked the ninth for his fourth save in four opportunities. Casey Kotchman doubled and Eric Byrnes walked with two out, but Jenks struck out pinch-hitter Ken Griffey Jr. to end the game.