The apex court had on October 22 last year granted bail to Chidambaram in the case saying he was neither a "flight risk" nor was there a possibility of "his abscondence from the trial".
A password protected e-chargesheet was filed against Chidambaram, his son Karti and others before the court of Special Judge Ajay Kumar Kuhar here on Monday.
A bench of Chief Justice S A Bobde and Justice L Nageswara Rao took up his application through video conferencing and allowed him to withdraw the amount.
The court, which granted them bail on a surety of Rs 2 lakh each, directed that they would not leave the country without its permission.
Special CBI Judge Ajay Kumar Kuhar reserved the order for Wednesday 3 p.m. after hearing prosecution and defence.
INX Media case: Court asks CBI to hand over to Chidambaram certain documents filed with charge sheet
Special Judge Ajay Kumar Kuhar issued the direction to CBI during the hearing of the INX Media corruption case.
A bench headed by Justice R Banumathi set aside the Delhi High Court's September 30 verdict denying him bail in the corruption case.
CBI had registered a case regarding irregularities in granting FIPB clearances to INX Media in 2007 when P Chidambaram was finance minister.
The Congress leader, who was also the home minister during UPA 2, was sent to judicial custody for 14 days in a corruption case related to the INX Media group.
The span will cover Chidambaram's 74th birthday - on September 16 - which he will have to spend locked up.
The apex court, while denying anticipatory bail to P Chidambaram in the INX Media case, said it must be left to the discretion of the investigating agency to decide the course of the probe.
Both lawyers agreed and told the bench that they will not press for interim bail before the trial court till the apex court passes the order.
When it comes to the question of liberty, the courts do not go into technicality, a bench of Justices A K Sikri and Ashok Bhushan said.
The CBI today moved the Supreme Court challenging a Delhi High Court order granting bail to Karti Chidambaram, son of senior Congress leader P Chidambaram, in the INX Media case.
After coming out of CBI headquarters here, Chidambaram said he had appeared before the CBI and the FIR did not contain any allegations against him.