The Braves announced the move before Wednesday's game against the Washington Nationals.
The 24-year-old Jurrjens, who was scheduled to start Saturday at Philadelphia, sustained the injury April 29, when he left a start at St. Louis after only one inning.
Braves manager Bobby Cox said right-hander Kris Medlen would take Saturday's start.
Jurrjens was 0-3 with a 6.38 ERA in five starts.
To replace Jurrjens on the 25-man roster, the Braves purchased the contract of right-handed reliever Craig Kimbrel from Triple-A Gwinnett. The 21-year-old Kimbrel was 0-0 with a 1.20 ERA in 11 outings.