He originally injured his shoulder while making a diving catch in center June 7. He served as a pinch-runner June 9, but the injury limited his ability to throw.
"We've talked about it and he's going to play center field, but also play in the corners," Twins assistant general manager Rob Antony said.
There's a good chance Hicks could remain in the Minors once his rehab stint is over, as the Twins want him to continue getting experience batting from the right side against right-handers now that he's dropped switch-hitting.
Rhett Bollinger is a reporter for MLB.com. Read his blog, Bollinger Beat, and follow him on Twitter @RhettBollinger. This story was not subject to the approval of Major League Baseball or its clubs.