Any state governmental body which provides health care or social services and which has a legal right to be reimbursed from any private or governmental source for these services may contract with any vendor on a contingent basis to recover or to assist in the recovery of funds for reimbursement of the provided services. The governmental body may pay the vendor from funds actually collected from governmental or private sources as a result of the services provided by the vendor. The vendor must be selected pursuant to § 11-35-1530, 11-35-1560, or 11-35-1570 and the contract must be approved by the State Fiscal Accountability Authority.