The judge initially considered the delay because he said Murray's defense team is not disclosing enough information to prosecutors.
Murray's defense team doesn't want a delay because it will cost more money if the case is dragged out. The lawyers said Murray is running out of money. They also contend that prosecutors are not providing them with enough information.
Superior Court Judge Michael Pastor met with lawyers on both sides behind closed doors Wednesday to discuss the case.
Pastor said initial screening of jurors will begin as scheduled March 24, but opening statements would not occur until at least May 9.
The case is expected to feature testimony from experts, as well as from people who were in Jackson's rented mansion on the day he died.
Prosecutors contend Murray gave the singer a lethal dose of the anesthetic propofol, which is normally administered in hospital settings.
Murray has pleaded not guilty to a charge of involuntary manslaughter in connection with the singer's death.
The Associated Press contributed to this report.