Mike Clevinger threw six shutout innings as the Indians blanked the Orioles 8-0 in Cleveland.
The Tribe put up six runs in the fourth inning, capped by a grand slam from Melky Cabrera.
Cleveland holds a 12-game lead in the AL Central.
The Indians open a series with the Red Sox tonight in Boston.
Corey Kluber will be on the mound for Cleveland in the opener of the four-game set.
The Red Sox will send out fellow 15-game winner Rick Porcello.
Boston holds the best record in baseball at 88-and-37.
The Tribe are 71-and-52 but hold a 12-game lead for first in the AL Central.