Adduci hit his head making a sliding catch in the fourth inning of Thursday night's loss to the Houston Astros. Adduci hit his head twice, on the track and against the wall.
Adduci was replaced on the active roster by first baseman/outfielder Ryan Rua, who was promoted from Triple-A Round Rock.
Rua, who's in Friday's lineup and batting fifth, will become the 59th player used by the Rangers this season, tying the major-league record for players used in a single season.
San Diego (2002 and 2008) and Cleveland (2002) are the other teams to have done it.
To make room for Rua, the Rangers released right-handed reliever Phil Irwin.
Rua went 4-for-5 with four RBIs in Thursday night's game for Triple-A Round Rock. Rua was hitting .405 with eight RBIs the last nine games.