In any county of this state where a law library exists under the provisions of Chapter 5 (commencing with Section 6300) of Division 3 of the Business and Professions Code, the board of supervisors of the county may enter into contracts, or agreements with the board of law library trustees of the law library for the cooperation of the law library and the county free library, and, in that connection, may contract or agree with the board of law library trustees of the law library that the county librarian and other employees of the county free library perform the duties required to be done or performed by the officers and employees of the law library for a compensation to be named in the contract or agreement, and to be paid into the county free library fund.