Crawford was diagnosed with the injury after leaving Friday's 10-4 Boston win over Milwaukee following an infield hit in the first inning.
"The medical people thought at best that it was going to be 10-to-14 days," Red Sox Manager Terry Francona told The Boston Globe. "So that was kind of a no-brainer."
The Red Sox recalled outfielder Josh Reddick from Class AAA Pawtucket to replace Crawford on the roster.
Notable deaths of 2014 [PHOTOS]