Conn. Gen. Stat. § 31-258: Repayment of benefits on receipt of workers' compensation.

Any person who has drawn benefits under this chapter who subsequently receives compensation for temporary disability under a workers' compensation law with respect to the same period for which he has drawn unemployment compensation benefits shall be liable to repay to the administrator the sum so received under this chapter, provided the amount which he is liable to repay shall not exceed the amount received under the workers' compensation law. If such person does not repay the sum at that time, such sum may be offset by the administrator against any future claims for benefits which such person may have.