The syringes in question are believed to contain fluids, including propofol, the powerful anesthetic that contributed to Jackson's death.
The testing they are seeking may determine the quantities of drugs in the items, which the cardiologist's lawyers say could be crucial information during trial.
Murray's lawyers said the syringes are deteriorating and that time is running out for the testing to be done.
The test may determine the quantities of drugs in the items, which could be crucial information during trial.
The Associated Press contributed to this report.