Taylor elected free agency Wednesday.
Taylor (bicep) moved his rehab assignment to Triple-A Omaha on Sunday and made a one-inning appearance against Toledo, allowing one earned run on two hits and one walk.
Taylor (biceps) will begin a rehab assignment at Double-A Northwest Arkansas on Saturday.
Taylor (bicep) resumed a normal throwing progression in July and appears close to beginning live bullpen sessions, MLB.com reports.
Taylor (biceps) was transferred to the 60-day injured list Sunday.
The Royals placed Taylor on the 15-day injured list Thursday with a left arm/biceps nerve injury.
Taylor is currently sidelined by left biceps soreness, Anne Rogers of MLB.com reports.
Taylor (back) is listed as an available pitcher for Saturday's Cactus League game versus the Rangers, Anne Rogers of MLB.com reports.
The Royals transferred Taylor (back) from the 15-day injured list to the 60-day IL on Monday.
Taylor is scheduled to undergo surgery Wednesday to repair a herniated disc in his lower back, Anne Rogers of MLB.com reports.