Cal. VEH § 16375

Any person whose driver’s license has been suspended, or is about to be suspended or shall become subject to suspension under this chapter, may relieve himself from the effect of the judgment by filing with the department an affidavit stating that at the time of the accident upon which the judgment has been rendered he was insured, that the insurer is liable to pay such judgment, and the reason, if known, why the insurance company has not paid the judgment. He shall also file the original policy of insurance or a certified copy thereof, if available, and such other documents as the department may require to show that the loss, injury, or damage for which the judgment was rendered, was covered by the policy of insurance.

If the department is satisfied from such papers that the insurer was authorized to issue the policy of insurance in this state at the time of issuing the policy and that such insurer is liable to pay such judgment, at least to the extent and for the amounts provided in this chapter, the department shall not suspend the license, or if already suspended, shall reinstate it.