The Los Angeles Clippers and Los Angeles Lakers continue to monitor Lamar Odom's progress as closely as they can, and would consider signing the enigmatic free-agent forward should Odom prove that his personal and legal issues are behind him, according to sources with knowledge of both teams' thinking.

Sources told ESPN.com that the Clippers and Lakers -- who both registered interest in signing Odom this past summer until his private life became a near-daily subject for the tabloid media -- will have renewed interest in the 33-year-old if he indeed makes a comeback this season.

Odom recently began training again with an eye toward making a return to the floor during the second half of the season, sources have said.

Sources stressed, though, that neither the Clippers nor the Lakers have had recent contact with Odom beyond calls inquiring about his personal welfare.

Odom has a positive history with both the Clippers and Lakers that sources say keeps the door open for a return as long as he can convince those teams he can get back into basketball shape and is committed to resurrecting his NBA career after a worrying string of headlines that included allegations of drug use and an August arrest on a DUI charge.