Irfan was produced in the special CBI court of judicial magistrate Dr Subhra Singh which extended his police custody till March 22, senior public prosecutor Hemant Shukla told reporters.
"It is up to the investigators (CBI) to decide when will he be subjected to polygraph test," he said.
Uttar Pradesh police had handed over Irfan`s custody to CBI on March 9 which then formally arrested him under section 302 (murder) and 120-B (criminal conspiracy) of the Indian Penal Code.
Irfan, who is the fourth accused in the murder case of the 32-year-old activist, was arrested by Uttar Pradesh police from Talaq Mahal locality in Kanpur on February 27.
Besides him, Bhopal-based architect Zahida Pervez, her assistant Saba Farooqui and alleged contract killer Shakib `Danger` are the three other accused in the case.
The court also allowed CBI to bring and seize Irfan`s cloths from Kanpur jail, Shukla said.
On March 14, main accused Zahida Pervez had recorded her statement in the closed-door hearing before the special CBI court under section 164 of CrPC, while the co-accused Saba Farooqui refused undergoing it. The duo had also refused taking the polygraph test even though they had agreed for it earlier.
Another accused Shaikb `Danger` who is currently in judicial custody at Indore Central Jail, had agreed to make his statement after ten days in the CBI special court.
Saba and Shaikb were remanded in judicial custody till March 13. Shehla was shot dead outside her residence at posh Koh-e-Fiza locality in Bhopal on August 16, 2011.