John Danks scattered seven hits over eight innings but kept the Kansas City Royals off the board with a 2-0 victory.
Chicago got on the board first with the second batter of the game on a solo home run from Gordon Beckham. The White Sox scored again in the second on a passed ball by Salvador Perez.
Danks won for just the third time this year, and his first victory since July 2nd.
Kansas City tries to even the series Wednesday with Jeremy Guthrie taking on Andre Rienzo.