Givens, who pitched a scoreless eighth inning in Wednesday's 5-1 loss to Boston, made a nice impression in a short stint.
"With Mychal, it's kind of, 'To be continued,'" O's manager Buck Showalter said of Givens' future in Baltimore. "He brings a lot of things. He's very athletic. He brings a lot of things that a lot of other pitchers can't.
"You can tell Mike is athletic and gets the other parts of the game. You see his times to the plate, his moves to first [base] -- little things you've got to get used to. You can tell he's into the situation of the game, even in a short stint. With the ball to the right side, he's breaking that way, as you should be. Little things like that. [His] pure stuff will play up here."
A converted shortstop, the 25-year-old Givens returns to Double-A Bowie, where he was moved into more of a setup role to help mimic his future with the O's.
"Whether he goes to Double-A or Triple-A is not really important," Showalter said of Givens, ranked as the O's No. 16 prospect by MLB.com.
"There's good to both of them. It's kind of a no-lose [situation]. There's an experience level in Triple-A -- you get more experienced hitters -- but where Mychal is ... keep in mind he was playing shortstop a couple years ago. ... I've said it a million times: We've got a 36-man pitching staff between here and Bowie and Norfolk.
"The roster doesn't really matter. We've got ways to get guys on the roster. I did want to get him in a game before he left, and I know [the Red Sox] had a couple left-handed hitters. Mychal, when he's right, I think he will be able to defend himself against both of them. I went over the outing today on film, and he's got a chance to help us."