Avila, 27, batted .218 with 11 home runs and 47 RBIs last season for the Tigers. He led the American League by throwing out 36 runners trying to steal bases.
Avila made the All-Star Game in 2011 and has spent his entire six-year career in Detroit.
Last week, the Tigers re-signed first baseman/designated hitter Victor Martinez to a four-year, $68 million contract. The 35-year-old finished second in the majors in batting average last season (.335) and hit a career-high 32 home runs.
The Tigers finished last season 90-72 and won the AL Central. They lost to the Baltimore Orioles in the ALDS.
- Paul Palladino