Masahiro Tanaka (elbow) will throw another bullpen session on Wednesday.
The White Sox are considering giving Conor Gillaspie some playing time in the outfield.
J.J. Hardy admitted Tuesday that his left thumb injury is "definitely not in the past."
Dan Jennings (concussion) began rehab assignment with the Gulf Coast League Marlins on Tuesday.
Jake Marisnick went 0-for-5 at the plate in his return to the lineup Tuesday.
Rajai Davis had an RBI single and stole a base in Tuesday's win over the Rays.
Carl Crawford reached base in all four plate appearances, scored three runs and knocked in three more in Tuesday's 8-6 victory over the Padres.
Abraham Almonte went 4-for-5 with a double, run scored and an RBI in Tuesday's setback against the Dodgers.
Derek Norris will not play Wednesday due to a minor back issue.
Jedd Gyorko finished 2-for-5 with a home run and three RBI in Tuesday's 8-6 loss against the Dodgers.
Dodgers manager Don Mattingly said Tuesday that Zack Greinke (elbow) is a "possibility" to make his next scheduled start on Thursday.
Kevin Correia beat the Padres despite allowing four runs on eight hits over five innings Tuesday.
Ian Kennedy was blasted for six runs (five earned) over five innings in a loss to the Dodgers on Tuesday night.
Coco Crisp singled, tripled and drove in three runs as Oakland held off the Mets in a 6-2 Tuesday victory.
Travis d'Arnaud went 1-for-4 with a home run against the A's on Tuesday.