Chapman, 57, will have his seventh parole hearing this week, the New York State Department of Corrections said. A statement on whether or not he is to be released is expected by the end of the week.
Chapman is serving a 20 year sentence for shooting the former Beatle dead outside the musician's New York City apartment building on December 8, 1980. He pleaded guilty to second-degree murder.
He has had a parole hearing every two years since 2000 and has been rejected every time.
After his hearing in 2010, the three-member parole board cited in written comments to Chapman, the "disregard you displayed for the norms of our society and the sanctity of human life" as their reasons for rejecting his request.
Ahead of that hearing, the parole division received dozens of letters arguing against Chapman's release, including one from Lennon's widow Yoko Ono, who said she believed Chapman posed a risk to her, Lennon's two sons, the public and himself.
This week's hearing will take place at Wende Correctional Facility in Alden, New York, where Chapman is being held. He was transferred there in May from Attica Correctional Facility where he had been held for 31 years.
Chapman shot Lennon four times in the back outside the Dakota apartment building in Manhattan, New York, where Lennon was living at the time.
At Chapman's parole hearing in September 2010, he told the board that there were other names on his list of potential targets including the talk show host Johnny Carson and Elizabeth Taylor.
"If it wasn't Lennon, it could have been someone else," he said, adding that he chose the singer because he was "more accessible".
Chapman also explained why he had decided to murder a celebrity. He added: "I felt that by killing John Lennon I would become somebody and, instead of that, I became a murderer, and murderers are not somebodies. Instead of taking my life I took somebody else's, which was unfortunate."
At his 2010 hearing Chapman said he expected to be left in jail, adding: "The average person on the street would probably say 'Leave him in' and I understand that."
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