Rincones was placed on the 7-day injured list at Double-A Richmond on Thursday for an undisclosed reason.
Rincones has played 81 games at Double-A Richmond this season and has slashed .258/.305/.376 with eight home runs, 38 RBI and 30 runs. It's not yet clear how much time he's expected to miss, but he'll be unavailable for at least a week.