Braun started Tuesday night after missing 26 games because of an inflamed nerve in his right hand that was painful when swinging a bat.
Manager Ron Roenicke said Wednesday that he planned to play Braun on Thursday when the Brewers open a four-game series at Arizona before the All-Star break.
"I don't think I'd start him three games there," Roenicke said, "but he may come after that first one and say, 'I feel great.' If he feels great then maybe we do it."
Braun went 1-for-3 in his return Tuesday. He is batting .304 with nine home runs and 36 RBIs in 58 games.
Braun's return came with news that he and several other players have refused to cooperate with Major League Baseball in the Biogenesis investigation, sources told ESPN.
Braun, who has repeatedly denied using performance-enhancing drugs, refused to answer questions during a June 29 meeting with MLB about his connection to Tony Bosch and the Biogenesis clinic in Miami, sources told "Outside the Lines."
Information from The Associated Press contributed to this report.