Davis was needed in relief of Danny Duffy on Saturday night and retired all three batters he faced in the eighth inning of the 1-0 win over the Orioles.
Left-hander Bruce Chen, out since April 25 with an ailing back, is still not ready to go on a Minor League rehabilitation assignment.
"This is the first time he's thrown off the mound, so he's not," Yost said. "He's going to go on the road with us and continue to throw his side sessions, and see how he feels."
Reliever Francisley Bueno is still on a rehab assignment with Triple-A Omaha. He's pitched seven innings in four games and given up three earned runs. A finger injury put him out on April 7.
Dick Kaegel is a reporter for MLB.com. Jackson Alexander is an associate reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.