Burnes (3-0) earned the win Saturday against the Royals, allowing three runs on four hits and one walk over 5.2 innings while striking out four.
Burnes didn't factor into the decision Sunday against Milwaukee, allowing three runs (two earned) on six hits and two walks across five innings. He struck out five.
Burnes (2-0) earned the win Tuesday versus Boston, allowing one run on two hits and two walks over seven innings. He struck out six.
Burnes came away with a no-decision in Wednesday's 4-3 win over the Royals, allowing two runs on nine hits over 5.2 innings. He struck out three without walking a batter.
Manager Brandon Hyde named Burnes the Orioles' starter for Opening Day against the Angels on March 28, Buster Olney of ESPN reports.
Burnes has allowed three runs on four hits and a walk over 2.2 innings in Grapefruit League play.
Burnes was traded from the Brewers to the Orioles in exchange for DL Hall and Joey Ortiz on Thursday, Jeff Passan of ESPN.com reports.
Burnes will start Game 1 of the National League Wild Card Series on Tuesday, Adam McCalvy of MLB.com reports.
Burnes (ankle) is listed as the Brewers' scheduled starting pitcher for Saturday's game against the Nationals at American Family Field.
Burnes was removed from Sunday's start against the Yankees due to a sprained left ankle, Adam McCalvy of MLB.com reports.