Justice S. Muralidhar sought the ED's response by June 19, when the custodial interrogation of Mittal by the agency will end.
Mittal, a resident of Model Town area, was arrested on June 5 for his alleged role in illegal conversion of demonetised currency notes totalling Rs 51 crore in connivance with lawyer Rohit Tandon, Ashish Kumar, Raj Kumar Goel, and others.
Mittal said he had cooperated and joined the probe over 10 times.
On May 30, the ED raided the premises of Mittal and former Congress legislator Rajesh Jain in Delhi to look for incriminating documents.
The government had scrapped the old Rs 500 and Rs 1,000 currency notes on November 8, last year.
The ED had registered a case against Tandon, Ashish Kumar and others under the Prevention of Money Laundering Act (PMLA) on the basis of a case registered by the Delhi Police Crime Branch.
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