The 33-year-old also can't say for sure that he will be able to avoid a stint on the disabled list. He's giving the hamstring a couple of days of rest to see how it recovers before making any final decisions about his future.
Bautista, who was recently named captain for the American League in the upcoming Home Run Derby, is hitting .305 with 15 homers and 49 RBIs in 77 games this season. Kevin Pillar got the start in right field Tuesday and will continue to platoon with Anthony Gose during Bautista's absence.
Gregor Chisholm is a reporter for MLB.com. Read his blog, North of the Border, and follow him on Twitter @gregorMLB. This story was not subject to the approval of Major League Baseball or its clubs.