Estevez (shoulder) could begin a rehab assignment this week, MLB.com reports.
Estevez has been progressing in his recovery from a right rotator cuff strain, throwing bullpen sessions that have him on the verge of embarking on a rehab assignment. Given the right-hander's lengthy layoff, the Royals are likely to give him extended time to find his footing in the minor leagues before returning to the big-league roster. The 33-year-old has been out since April 1, initially due to a left foot contusion before suffering the shoulder injury in a rehab outing May 6.