Kaun, 30, toured Cleveland last week, Cleveland.com’s Chris Haynes reported, quoting a source as saying “it's only a matter of time” before the two parties came to an agreement.
Kaun spent the past six seasons in his native Russia with European power CSKA Moscow. He averaged 9.9 points and 4.5 rebounds in 20.1 minutes per game during the Euroleague season last year.
Kaun went to high school in Florida and played four seasons at the University of Kansas. The Seattle Supersonics drafted Kaun in the second round in 2008 and sold his NBA rights to the Cavs on draft day.
In June, Kaun told the Lawrence Journal-World that he was finished playing in Europe and was looking to move to the NBA.
- Dan Gartland