Guthrie (3-6) allowed two runs and six hits in 5 2-3 innings to snap an 11-game winless streak. Guthrie's last win was on April 9, against Tampa Bay.
Eric Hosmer and Billy Butler of the White Sox each had two RBIs, including a run-scoring single in the first inning.
Jose Quintana (3-7) never recovered from the slow start, allowing six runs and eight hits in six innings.
Jose Abreu went 1 for 4 with an RBI for the White Sox.