Wong aggravated the injury while batting during Thursday's loss to the St. Louis Cardinals.
The 30-year-old Wong had received a standing ovation leading off Thursday's game. Wong spent eight years with the Cardinals before St. Louis declined his option last fall. He became a free agent and signed a two-year, $18 million deal with the Brewers.
Wong, a Gold Glove winner at second base the past two seasons, is hitting .105 in 19 at-bats this season.
Information from The Associated Press was used in this report.