The application had been filed on Mallya’s behalf after UK Home Secretary Sajid Javid cleared a Westminster Magistrate’s court order of Mallya’s extraditon in February.
Reports said Mallya now has five business days to apply for an oral consideration.
He also has the option of making a renewal application which will again be heard by a High Court judge.
Mallya faces charges of fraud, money laundering and violation of FEMA.
He is wanted in India for wilful default of over Rs 9,000 crore loan from Indian banks.
He fled to the UK in March 2016 and remains on bail on an extradition warrant executed by Scotland Yard in April 2017.