Britton has been on the disabled list since Aug. 5 with a left shoulder strain. After winning five of his first six decisions, the 23-year-old lefty hasn't won since June 8 and has lost eight of his last nine.
Adams hit .217 in seven games with the Orioles earlier in the season. He was playing second base and hitting ninth on Monday.
Berken was 1-2 with a 5.80 ERA in 35 games.
Orioles infielder Josh Bell was optioned to Norfolk after Sunday's game.