California Code, Probate Code - PROB § 8469

(a) For good cause, the court may allow the priority given by Section 8461 to a conservator or guardian of the estate of the decedent serving in that capacity at the time of death that has not filed a first account, or that is acting as guardian or conservator for another person, or both.

(b) If the petition for appointment as administrator requests the court to allow the priority permitted by subdivision (a), the petitioner shall, in addition to the notice otherwise required by statute, deliver notice of the hearing pursuant to Section 1215 to the public administrator.