Murray filed a notice with the court Tuesday saying he doesn't have the money to pay for his own attorney.
The U.S. Supreme Court has ruled that felony convicts have a constitutional right to assistance of counsel.
Murray is fighting last month's manslaughter conviction. He's expected to serve about two years behind bars.
"Dr. Murray created a set of circumstances and became involved in a cycle of horrible medicine. The practice of propofol for medicine madness, which violated his sworn obligation for money," Superior Court Judge Michael Pastor said at sentencing.
