A source close to Oden told ESPN's J.A. Adande that the Cavaliers and Spurs appear to be the best fits at this time.
Oden, 25, has battled numerous knee injuries and hasn't played in an NBA game since Dec. 5, 2009. He is coming off his third microfracture knee surgery in February 2012.
Oden has averaged 9.4 points, 7.3 rebounds and 1.4 blocks in 82 career games and has been working out in both Columbus and Indianapolis this past offseason.
Sources close to Oden told ESPN.com that he is optimistic he can return for the 2013-14 season opener.