The infielder suffered a strained left quad in the weekend's Bay Bridge exhibition series.
"It bothered him more so than we thought," said Melvin.
• Former A's player Scott Hatteberg, currently serving as a special assistant for the club, has been selected as the A's representative as one of 30 former big leaguers who will participate in the Hall of Fame Classic on May 24.
The 75th anniversary event will be played at Cooperstown's historic Doubleday Field. Another former A's player, Hideki Matsui, will represent the Yankees in the event.
Jane Lee is a reporter for MLB.com. Read her blog, Major Lee-ague, and follow her on Twitter @JaneMLB. This story was not subject to the approval of Major League Baseball or its clubs.