215 ILCS 5/121-17
If the defendant shows the circuit court that an appeal from the foreign judgment is pending or will be taken, or that a stay of enforcement has been granted, the court shall stay enforcement of the foreign judgment until the appeal is concluded, the time for appeal expires or the stay of enforcement expires or is vacated, upon proof that the defendant has furnished the security for the satisfaction of the judgment required by the State in which it was entered.
If the defendant shows the circuit court any ground upon which enforcement of a judgment of any circuit court of this State would be stayed, the court shall stay enforcement of the foreign judgment for an appropriate period, upon requiring the same security for satisfaction of the judgment as is required in this State.
215 ILCS 5/121-17