The court also directed the Delhi Police to comply with its previous order by which it was directed that two more personnel for personal security of Verma, his wife and mother, till today.
Before this, the police was providing one security personnel to Verma round-the-clock following a trial court order.
"This protection be extended till the lie detection test is conducted," Justice Ashutosh Kumar said and disposed of Verma's petition seeking enhancement of his security.
When Verma's counsel Maninder Singh said that despite the order he was not provided with two more security men, the court asked the police to comply with its September 27 order.
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"You have to comply with the court order. Continue with it till he undergoes the lie detection test. What is the difficulty in it? When there is a court order, you have to comply with it," the court told Delhi police counsel.
Claiming that Verma was receiving threatening emails and phone calls that he would be killed, the counsel had sought more security for Verma and his family members so that he can appear fearlessly for the test.
While Congress leader Jagdish Tytler, who has been given clean chit thrice by the CBI, has refused to undergo the test, Verma had given conditional consent saying he was ready to undergo the test if he was provided round-the-clock security as he feared threat to his life.
The CBI had earlier told the trial court the government- run forensic science laboratory in Rohini here has confirmed the dates of conducting the test on Verma which will be done from October 3 to 6, which has now been deferred.
The case pertains to the riots at Gurudwara Pulbangash in North Delhi where three people were killed on November 1, 1984, a day after the assassination of then Prime Minister Indira Gandhi.
The agency had reinvestigated the case of killing of Badal Singh, Thakur Singh and Gurcharan Singh near the gurudwara after a court in December 2007 refused to accept its closure report.