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The Crown Prosecution Service (CPS) said the hearing for his bail petition will take place on June 11.
Modi was on Thursday remanded till June 27 by a UK court, which directed the Indian government to confirm within 14 days which prison he is to be held in if he were to be extradited.
The 48-year-old is wanted in India to face charges of fraud and money laundering amounting to nearly USD 2 billion in the Punjab National Bank (PNB) case.
Modi was arrested by uniformed Scotland Yard officers on an extradition warrant from a Metro Bank branch in central London on March 19 and has been in prison since.