Flowers was hurt when Miami Marlins pitcher A.J. Ramos struck him on the hand with a pitch earlier this month. The injury was aggravated on a checked swing in the second inning of Saturday's game against the White Sox.
The Braves had said that Flowers was to undergo an MRI on Monday.
Flowers is hitting .253 with 7 home runs and 21 RBIs in 53 games for Atlanta this season.