White was acquired from Cleveland in the five-player deal that sent pitcher Ubaldo Jimenez to the Indians on July 31. White was 1-3 with a 3.60 ERA with Cleveland before going on the DL on May 21 with a torn tendon on his left middle finger.
To make room for White on the 40-man roster, the Rockies transferred right-hander Juan Nicasio to the 60-day DL.
Kouzmanoff, who grew up in Colorado, hit .221 with four homers and 17 RBIs in 46 games with Oakland. He will report to Triple-A Colorado Springs.
Colorado also placed righty Edgmer Escalona on the 15-day DL, retroactive to Saturday, with a right rotator cuff strain.