Turnbull won a 12-pitch battle with Yermín Mercedes to end the fourth, getting him to swing and miss at a fastball. Kyle Funkhouser replaced him in the fifth.
Turnbull gave up a home run to Yasmani Grandal in the second, but not much else. He threw just 56 pitches, allowing one run and two hits. The right-hander struck out four and did not walk a batter.
The 28-year-old Turnbull pitched a no-hitter at Seattle last month.