The Bench, comprising Justice M Chockalingam and professor R Nagendran, adjourned the hearing after MDMK Chief Vaiko pleaded permission to implead himself in the case and sought time to present his views on the Vedanta Group plant.
The Vedanta Group company sought a stay on the TNPCB's closure order which was issued on March 30 following protests by locals who were affected in the wake of alleged gas leak.
The Supreme Court last week asked the company to pay Rs 100 crore compensation for polluting the environment through its copper smelting plant but refused to direct its closure.
The court's judgement would, however, have no bearing on Tamil Nadu Pollution Control Board's (TNPCB) direction on shutting down the plant.