Okla. Stat. tit. 36 § 4901
Whenever any bond, recognizance, or undertaking is required or permitted to be made for the security or protection of any person or municipality, the state, or any department thereof, or organization, conditioned for the doing or not doing of anything therein specified, any such board, court, organization or officer required or permitted to accept or approve of the sufficiency of such bond, recognizance, or undertaking, may accept and approve the same when executed, or when the conditions thereof are guaranteed, solely by an insurer authorized to transact a surety business in this state in accordance with the requirements of this code. Whenever any such bond, recognizance, or undertaking is required to be made with one surety or with two or more sureties, the execution of the same, or the guarantee of the performance of the conditions thereof, shall be sufficient when so executed or guaranteed solely by one such insurer, and shall be a full compliance with every requirement of every law, ordinance, or regulation relating to the same, and no justification by such insurer shall be necessary.
Okla. Stat. tit. 36, § 4901