The move, announced Monday, is retroactive to May 11.
Norris is 1-4 with a 9.88 ERA. He was scratched from his scheduled start Saturday.
The Orioles have recalled right-hander Tyler Wilson from Triple-A Norfolk to fill out the pitching staff. The 25-year-old has not yet pitched in the major leagues.
Wilson went 2-4 with a 3.43 ERA in seven starts with Norfolk this season. In 95 career starts over five minor league seasons, Wilson is 34-28 with a 3.71 ERA.
He was named the Orioles' minor league pitcher of the year in 2014.