Simpson, 66, is serving up to 33 years on a variety of charges stemming from his alleged 2007 attempt to recover stolen sports memorabilia from dealers in a Las Vegas hotel room. In 2008, he was found guilty of kidnapping, robbery and burglary, with some sentences running concurrently and others consecutively.

If the parole board rules in his favor, the one-time star running back at the University of Southern California and the NFL's Buffalo Bills could see three years taken off his sentence, the Times said. A ruling is expected next week.

Simpson also has requested a new trial after accusing his former defense lawyer of a poor performance.

In 1995, Simpson was found not guilty of killing his former wife Nicole Brown Simpson, and her friend Ronald Goldman, in a much-publicized, eight-month murder trial in Los Angeles. He was ordered to pay millions to the Brown and Goldman families in a wrongful death suit in February 1997.