Upon the allowance of the department of all or part of an employee claim for additional reimbursement for the performance of duties outside the scope of their present classification, certification by the Director of Finance that a sufficient appropriation exists, the execution and presentation of such documents as the department may require which discharge the state of all liability under the claim, and notwithstanding the provisions of Section 19630, the department shall designate the fund from which the claim is to be paid and the state agency concerned shall pay the claim from that fund. Where no sufficient appropriation for the payment is available, the department shall submit a request to the Legislature for appropriation of those funds.