Cal. GOV § 827

A provider of health care, as defined in Section 56.05 of the Civil Code, its officers, employees, agents, and subcontractors, who are defended by the Attorney General pursuant to Section 12511.5, or other legal counsel provided by the state, shall be indemnified in accordance with Section 825, subject to the same conditions and limitations applicable to state employees, except that no provider of health care shall be indemnified in a civil rights action unless the health care provider maintains insurance for professional negligence. To the extent that negligence constitutes the basis of liability of the health care provider, the provider’s private insurance shall be the source of recovery.