Bautista (shoulder) could begin a minor-league rehab assignment in late August, per MLB.com.
Alonso went 3-for-5 with a solo home run in Saturday's 4-3 extra-inning win over the Rays.
Bradish did not factor into the decision in Saturday's 4-3 extra-inning win over the Rays, allowing two runs on seven hits and four walks with three strikeouts over six innings.
Kittredge (2-3) blew a save and earned the win in Saturday's 4-3 extra-inning win over the Rays.
Hudson struck out one in a perfect ninth inning Saturday to record his fifth save of the season in a 4-3 win over the Tigers.
Kay didn't factor into the decision in Saturday's 4-3 win over the Tigers, giving up three runs on six hits and a walk over 5.1 innings. He struck out four.
Basallo (shoulder) will begin a rehab assignment at Triple-A Norfolk on Sunday, Jacob Calvin Meyer of The Baltimore Sun reports.
The White Sox optioned Quero to Triple-A Charlotte on Saturday.
Peters went 3-for-5 with a two-run home run Friday against the Tigers.
Sanders was credited with the save in Friday's 6-5 win over the Rays after recording the final out.
