An individual who has been awarded compensation under this part, and who has also received benefits from a State workers compensation system by reason of the same covered illness, shall receive compensation specified in this part reduced by the amount of any workers compensation benefits, other than medical benefits and benefits for vocational rehabilitation, that the individual has received under the State workers compensation system by reason of the covered illness, after deducting the reasonable costs, as determined by the Secretary, of obtaining those benefits under the State workers compensation system.