Douglas has pleaded guilty to charges of dealing methamphetamine and faces more than 10 years behind bars when he is handed his punishment on 27 April (10).
The 31 year old is due to hear his sentence in an open court, but his attorneys have lodged a request to have the hearing kept private, according to the New York Daily News.
A letter from Douglas' lawyers to Judge Richard Berman, reads, "We expect that the sentencing before Your Honor will again be widely covered by the press. All the press coverage thus far has been purely sensational. His crime is not sensational or even noteworthy."
Judge Berman has given Douglas' legal team until Friday (16Apr10) to argue their case.
Cameron's stepmother, Catherine Zeta-Jones, and his grandfather, Kirk Douglas, are among a handful of family members who have written to Manhattan Federal Court in New York urging the judge to be lenient.
Their statements were made public, while Judge Berman ruled that a note from Cameron's father, Michael, should be kept private.