In any case where, after judgment of partition, and before division or sale is had (as the case may be), the parties in interest adjust the respective rights among themselves so that further proceedings leading to such actual division or sale become unnecessary, an order shall be entered terminating further proceedings, whereupon the judgment of partition shall remain in full force and effect to determine the rights and interests of the parties as adjudicated therein, and there shall be no judicial division or sale of the premises, rights or interests pursuant to such judgment.
735 ILCS 5/17-126