The court issued notice to Chidambaram and Karti on the agency's petition seeking cancellation of their anticipatory bail.
The plea is likely to be heard by the court on Friday.
Special Judge O P Saini adjourned the matter without giving any date for further hearing, saying that the prosecution may approach the court as and when the probe is complete.
Karti, who is facing proceedings in cases like Aircel-Maxis and money laundering matters, had deposited Rs 10 crore pursuant to the condition imposed by the apex court for travelling abroad.
Chidambaram, who was also the home minister during UPA 2, was sent to 14-day judicial custody on Thursday in the INX Media corruption case.
The Chidambarams are under the scanner of investigating agencies in the Aircel-Maxis deal as also the INX Media case involving Rs 305 crore.
The cases relate to alleged irregularities in grant of Foreign Investment Promotion Board (FIPB) approval in the Rs 3,500-crore Aircel-Maxis deal when P Chidambaram was finance minister.
Opposing Chidambaram and his son Karti's protection from arrest, the agencies said the two will hamper the probe and sought their custodial interrogation in the Aircel-Maxis scam.
Aircel Maxis case: Delhi Court reserves order on P Chidambaram's anticipatory bail plea for September 3
The court reserved order on Chidambaram's anticipatory bail application for September 3, extending the interim protection from arrest to them till then.
Sivasankaran in his complaint with the CBI in 2011 had alleged that the then telecom minister Dayanidhi Maran coerced him to sell his stake in Aircel which he had founded.
The Aircel-Maxis deal is an offshoot of the 2G spectrum allocation case and bears resemblance to the INX Media case.
The agency has also come across evidence where alleged illegal deposits of over Rs 300 crore were made in a single shell firm after purported kickbacks were received by Chidambaram and his son Karti.
In spite of three summons from the ED, Sivasankaran had failed to appear.
Aircel-Maxis deal: Delhi court extends protection from arrest to P Chidambaram, Karti till August 23
The father-son duo had argued that had told the court there was no ground to deny them anticipatory bail.
The court extended the relief after the argument on anticipatory bail plea of the father-son duo remained inconclusive as both the agencies sought time to argue the matter further.