Jury May Get Conrad Murray Case Thursday Closing arguments begin that day in Michael Jackson death By John Johnson, Newser Staff Posted Nov 1, 2011 6:37 PM CDT 4 comments Comments Dr. Conrad Murray, surrounded by his defense attorneys, looks on after the defense rested their case in his involuntary manslaughter trial. (AP Photo/Kevork Djansezian, Pool) (Newser) – Conrad Murray's involuntary manslaughter case could be over this week. The defense rested today, and closing arguments are set to begin on Thursday, reports the Los Angeles Times. Murray today decided not to testify on his own behalf. His fate will hinge on whether jurors buy his claim that Michael Jackson managed to inject himself with a lethal dose of propofol. Prosecutors say Murray delivered the fatal dose, then tried to cover up his incompetence.