The chat show queen has approached the troubled basketball star, 33, about doing a tell-all with her to help him show people he has put his alleged drug problem firmly behind him.
A source told gossip website TMZ.com that Lamar, whose four-year marriage to Keeping Up with the Kardashians star Khloe Kardashian has been on the rocks for months amid allegations he regularly used crack cocaine until the start of this month and cheated on her several times, is eager to repair his reputation so he can start playing basketball professionally again.
But he will only agree to the interview with Oprah if the conditions are right.
Insiders said that if the interview goes ahead, Lamar would discuss his drug use, marriage and career.
It was previously reported that the athlete, who has two children Destiny, 15, and 11-year-old Lamar Jr. with ex-girlfriend Liza Morales, has been sober for more than a week and is desperate to get his "old life" back.
The unsigned player also reportedly had a meeting with the Los Angeles Lakers on Monday and hopes to re-join the team, who he won two NBA championships with in the past.
Lamar recently pleaded not guilty to a misdemeanour count of DUI (Driving Under the Influence) and a pre-trial hearing is scheduled for 8 November.
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