The outfielder hasn't played since April 26. Braun was hitting .318 with six homers and 18 RBIs when he was placed on the 15-day disabled list on May 3.
Braun took batting practice before the team's game Wednesday afternoon against Arizona. Manager Ron Roenicke says Braun should be ready when eligible to play his next game, Tuesday against NL Central-rival Pittsburgh.
Roenicke also says right-hander Marco Estrada was fine a day after the starter suffered a right leg cramp during a 7-5 loss to the Diamondbacks.