Sale (6-2) gave up one run, three hits and walked two in 7 1/3 innings while finishing one strikeout shy of the team record. Jack Harshman struck out 16 against Boston on July 25, 1954.
Sale struck out his 15th batter, Jose Molina, with a runner on third and two outs in the seventh. He retired his final batter, Rich Thompson, on a grounder to lead off the eighth.
Chicago took a 2-1 lead during the sixth when Gordon Beckham singled and scored on Dunn's 16th homer. Dunn has gone deep 11 times in May.
Matt Moore (1-5) allowed two runs and four hits over seven innings for Tampa Bay.