Bae (ankle) was placed on the 10-day injured list Sunday.
The 24-year-old went 0-for-2 with a walk and a run Saturday before being lifted with an apparent left ankle injury, per Kevin Gorman of TribLive.com, and he'll now be sidelined through at least the All-Star break. Rodolfo Castro and Tucupita Marcano are likely to be the main beneficiaries of playing time in Bae's absence.