Odom arrived at a drug and alcohol center for treatment Wednesday morning and left Thursday afternoon, the magazine said.
Last week, ESPN reported that Odom was staying at a Los Angeles hotel last week and friends were trying to help him deal with a drug problem.
TMZ later reported that Odom was missing for 72 hours after a fight with his wife, reality television star Khloe Kardashian Odom. Odom's agent later refuted that report.
He was also arrested on suspicion of driving under the influence in Los Angeles last week. Odom, a 13-year veteran, averaged four points and 5.9 rebounds in 82 games last season with the Los Angeles Clippers.