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As the investigation has been now transferred to a Special Investigation Team of Delhi NCB, the condition that he appear at the Mumbai office could be relaxed, said the plea.
The application also said that he has to be accompanied by police personnel every time he visits the NCB office here due to the large number of mediapersons waiting outside.
The application is likely to be heard by the high court next week, his lawyers said.
Aryan Khan was arrested by the NCB on October 3 on charges of alleged possession, consumption and sale/purchase of drugs following a raid on a cruise ship off the Mumbai coast.
He was granted bail by the high court on October 28.
The high court also imposed 14 conditions on him. He was asked, among other things, to appear before the NCB each Friday, not to leave Mumbai without informing the agency and not to leave India without permission from the special NDPS court.