"I really don't think about it," Tomlin said of the competition. "I know there's a lot of talk about it this year. Every time we talk to ya'll, it's about that fifth spot. But I think we're all in this for the same goal, and that's to win a World Series. Whatever that takes, whether there's competition for that spot or not, we're all working towards the same goal.
"I feel pretty blessed to be in this situation right now, competing for that spot. The main thing I take out of these outings right now is how I feel the next day and how I feel in the outing. So far, so good."
Tomlin -- competing with Aaron Harang, Carlos Carrasco and Trevor Bauer for the last spot in the Tribe's starting staff -- finished with five strikeouts, while allowing three hits and one walk. The first-inning free pass to Brewers catcher Jonathan Lucroy snapped a streak of 20 straight innings without a walk for Indians pitchers.
Told of that streak, Tomlin cracked a smile.
"I know," said Tomlin, who had zero walks in 29 1/3 innings last season between the Minors and Majors. "I've got to cut down on the walks."
The Indians (9-1-1) have now gone 10 consecutive games without a loss.
Cleveland broke through against Peralta (projected to be Milwaukee's fourth starter) in the first inning, when Asdrubal Cabrera led things off with a double. Two batters later, Cabrera crossed home plate on a single to center field from Tribe third baseman Lonnie Chisenhall.
In a two-run second inning, Justin Sellers contributed an RBI single for the Indians. Matt Carson singled in the sixth inning and later scored when Brewers left fielder Mitch Haniger misplayed a fly ball off the bat of Murphy for a costly error.
Peralta ended the afternoon with three runs yielded on four hits in 3 1/3 innings, during which he struck out two and walked two.
Up next: Yovani Gallardo faces White Sox ace Chris Sale at Maryvale Baseball Park on Monday at 3:05 p.m. CT in a contest available on MLB.TV and via a Brewers.com exclusive free webcast.
Jordan Bastian is a reporter for MLB.com. Read his blog, Major League Bastian, and follow him on Twitter @MLBastian. This story was not subject to the approval of Major League Baseball or its clubs.