The teams made the trade Saturday. Gimenez is expected to join the Indians on Sunday.
Gimenez batted .262 in 34 games with the Rangers before being designated for assignment on Aug. 7. He was assigned to Triple-A Round Rock after being taken off the Rangers' roster.
The 31-year-old Gimenez was drafted by Cleveland in 2004 and spent parts of the 2009 and 2010 seasons with the Indians. He has a career .215 average, and has also played with Seattle and Tampa Bay.
The Indians put catcher Yan Gomes on the seven-day concussion list Saturday.