If an applicant or recipient receives any form of public aid from the Illinois Department or a local governmental unit to which he or she is not entitled, the Illinois Department or local governmental unit may determine that the applicant or recipient has received an overpayment of public aid. The Illinois Department may determine that an overpayment has been received regardless of any determination of the cause of the overpayment, including but not limited to a determination that the overpayment was caused by an error of the Illinois Department or local governmental unit. The Illinois Department or local governmental unit may attempt to recover the overpayment by recoupment from future assistance payments or food stamps or any other legal means consistent with State and federal law.