Earlier this week the overpaid pill pusher, who had the official title of "personal physician" was found guilty of administering a deadly overdose of the operating room anaesthetic, Propofol.
The jury deliberated for nine hours over two days before unanimously voting to convict the medic.
His lawyers said Murray was "devastated" by the guilty verdict but nonetheless "confident" that they would win an appeal.
Lead defense lawyer Nareg Gourjian told CNN they are going to deal first with their client's sentencing.
He said: "What matters most right now is trying to keep Dr. Murray from taking up a prison cell in this community. That's what we're focusing on right now and we'll deal with an appeal after that."
Immediately after the conviction Murray was denied bail and taken into custody and he will face sentencing later this month.
He could face up to four years in prison.