The CBI court also allowed a pardon application filed by Mukerjea and directed Mukerjea to appear before it in person.
The former head of INX Media is currently lodged in the Byculla jail in Mumbai in connection with the murder case of her daughter Sheena Bora.
Sheena (24) was allegedly killed by her mother and media executive Indrani Mukerjea with the help of others in April 2012 and the body was burnt in a jungle in neighbouring Raigad district.
The order will be delivered on May 29. Mukerjea, who is in Mumbai's Byculla Jail as she faces trial for the murder of her daughter Sheena Bora, appeared before special judge Anurag Sain.
Indrani Mukerjea is currently lodged in the Byculla jail and facing trial in a CBI court for allegedly killing her daughter Sheena.
Peter Mukerjea, arrested in the sensational Sheena Bora murder case in 2015, had moved the bail application in November last year before special CBI Judge J C Jagdale.
Indrani Mukerjea had told the court that she needed to be pardoned and as an accused, she had not engaged a lawyer to represent her before it in the case.
In 2015, Indrani had refused to give her consent to the Central Bureau of Investigation to subject her to a lie-detector test.
Via video conferencing from Byculla jail, Mukherjee told a Delhi court that as an accused, she had not engaged an advocate to represent her.
The IT department on Wednesday submitted a letter seeking permission of the special CBI court, which is conducting the murder trial, for recording Mukerjea's statement under section 131 of the IT Act.
The veteran Congress leader’s role had come under the scanner of various investigating agencies in the Rs 3,500-crore Aircel-Maxis deal and the INX Media case involving Rs 305 crore.
Sheena Bora murder case: Doctor says Indrani Mukerjea's son Mikhail was not tortured during psychosis treatment
Mikhail had earlier told the court, which is conducting trial in the Sheena Bora murder, that he was tortured during the treatment at the behest of his mother Indrani, the main accused.
According to the CBI, Indrani was opposed to the relationship between Sheena, her daughter from an earlier relationship, and Rahul, Peter's son from an earlier marriage.
The witness, an MBA graduate, was working with the Mukerjea company INX Services from 2000 to 2007.
Sheena (24) was a child of Das and Indrani Mukerjea, who is the prime accused in the murder case.