A vacation bench of justices Gyan Sudha Misra and Madan B Lokur passed the order on the plea of DIL which had moved the apex court against the May 2 order by the high court's division bench.
The court has listed the matter for further arguments on July 30.
The division bench of the high court on May 2 had rejected DIL's appeal against its single judge decision of January 31 ordering winding up of Dunlop India.
The single judge had also directed the official liquidator to take possession of the company's assets and books of records.