Joseph Low, the lawyer for Nicole Alvarez, said his client began testifying on Wednesday.
By law, he was not allowed to discuss what Alvarez was asked but said she had been cooperative in providing a statement.
Murray told police he gave the pop superstar the powerful anesthetic propofol and other drugs in the hours before Jackson's death, court records state.
Murray's attorney has said the doctor didn't give Jackson anything that should have killed him.
Police searched the apartment of Alvarez last month, but Low said his client did not want to talk to investigators without a lawyer present. It took until this week for a spot to open up on the grand jury schedule.
"The grand jury is a tool that a very professional and thorough prosecutor will use to conduct an investigation, and that's what was done here," Low said. "We willingly participated in that."
Terrorist attack feared after Jackson arrest
Dec 23, 2009 10:59 am PST
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Documentary on Jackson doctor planned
Dec 23, 2009 10:31 am PST
When Michael Jackson's embattled personal physician returned to work last month, cameras were rolling. Miranda Sevcik (SEHV'sik), a spokeswoman for Dr. Conrad Murray, confirms that a British documentary crew chronicled his first day back...
FBI assisted authorities in Jackson probes
Dec 22, 2009 9:00 am PST
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Jackson's 'Captain EO' to return to Disneyland
Dec 18, 2009 9:00 pm PST
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Michael Jackson tribute concert scrapped
Dec 18, 2009 3:14 pm PST
A Michael Jackson tribute concert, which was moved from Vienna to London after top acts dropped out, has been canceled after the event's organizer closed down, the company's liquidator said on Friday. Organizers, led by Michael&...