Ill. Admin. Code tit. 44, § 2600.1110
c) In any of the following cases, the Procurement Officer shall have the right to terminate or rescind any contract entered into under this Part:
d) Withholding Money to Compensate State for Damages
If a contract is terminated or rescinded under this Section, SBEL may deduct from whatever is owed the vendor on that or any other contract an amount sufficient to compensate the State of Illinois for any damages suffered by it because of the vendor's breach of contract or other unlawful act on the vendor's part on which the cancellation is based.