Wong also was on the injured list with a left oblique strain in April, when he missed a little over two weeks.
"It's not bad, but it's concerning because it's the same spot that he did earlier this year," manager Craig Counsell said after Thursday's game.
Wong is hitting .280 with four home runs and 15 RBIs in 44 games this season.
In a corresponding move, utility player Pablo Reyes was recalled from Triple-A Nashville.
The Associated Press contributed to this report.