Rivero, 22, batted .232 with six home runs and 43 RBIs in 110 games with Double-A Akron last season while starting 107 games at shortstop and making 28 errors.
The Venezuela native is a career .255 hitter with 31 homers in 518 Minor League games over five seasons.
The 6-foot-3, 220-pound shortstop was originally signed by Cleveland in 2005 as an amateur free agent.
Rhett Bollinger is a reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.