Best remembered by Sox fans for stealing a walk-off home run from Andrew Vaughn last season, Jankowski stands a good chance of making the Opening Day roster.
Adams exited his start against the Reds with discomfort in his right elbow, the latest in a series of blows to the White Sox' pitching depth this spring.
The elbow problems keep creeping up on the White Sox. The latest came Thursday morning at Camelback Ranch, where right-hander Drew Thorpe left a minor-league game with soreness.
With two more games following to wrap up White Sox spring training, Noah Schultz and Hagen Smith are the scheduled starting pitchers for the Sox on Saturday.