Baez signed a minor-league deal with the Tigers on Tuesday.
Baez (undisclosed) was released by the Tigers on Friday.
Double-A Erie placed Baez on its 7-day injured list Thursday, Tom Reisenweber of the Erie Times-News reports.
Baez (illness) was transferred from High-A Lakeland to Double-A Erie on Saturday.
Baez (illness) is expected to begin a rehab assignment at High-A Lakeland within the next few days, Emily Waldon of The Athletic reports.
Triple-A Toledo placed Baez on its 7-day injured list Saturday with a "minor illness," Emily Waldon of The Athletic reports.
Baez was recalled from Triple-A Toledo on Thursday, Jason Beck of MLB.com reports.
Baez was optioned to Triple-A Toledo on Friday.
Baez tossed 2.1 scoreless innings in Wednesday's loss to the Astros, and he's now gone three appearances (5.1 innings) without allowing a run since being promoted to the majors on Sept. 1.
Baez wa recalled from Double-A Erie on Saturday.