Smith gave up one run on one hit while striking out one batter over one inning to earn a save against the Angels on Monday.
Messick (10-8) earned the win over the Angels on Monday, allowing one run on three hits and one walk while striking out four batters over six innings.
Holderman (wrist) struck out three and gave up one hit in a scoreless inning during Monday's 4-2 victory over the Angels.
Rainey tossed two scoreless innings of relief in Monday's 4-1 loss to the Rays. He walked two and struck out two.
Valdez (8-9) took the loss against the Rays on Monday, allowing four runs (three earned) on eight hits and two walks in six innings. He failed to record a strikeout.
DeLauter has been scratched from Monday's starting lineup against the Angels due to left hamstring tightness, Tim Stebbins of MLB.com reports.
Bazzana is not in the lineup for Monday's contest versus the Angels.
Lee will start at second base and bat second in Monday's game against the Rays.
The Tigers designated Vanasco for assignment Monday, Cody Stavenhagen of The Athletic reports.
Torres is out of the lineup for Monday's game against the Rays.
