Wyo. Stat. Ann. § 7-22-113

The state may contract with any local government or private contractor which is responsible for the maintenance or operation of a facility to house in the facility inmates or prisoners of the state penitentiary or any other facility operated or under the control of the state, and any local government or private contractor may accept and house such inmates or prisoners in the facility pursuant to any contract with the state. The contract shall specify such matters as are deemed relevant by the state, the local government or the private contractor and shall be approved as to form and content by the Wyoming attorney general.