Special CBI Judge Swarana Kanta Sharma fixed September 23 for pronouncing the order on CBI's application, which was opposed by the five accused.
Besides Jain and Agarwal, CBI has sought voice specimen of Bhushan Steel Limited Vice Chairman and Managing Director Neeraj Singal, Vineet Godha and Puneet Godha.
Agarwal had earlier opposed the agency's plea contending that he was "apprehending manipulation" by CBI to implicate him in the case.
These accused, along with others, are in judicial custody till September 24.
Also Read
The accused were arrested in connection with two separate graft cases in which CBI had booked them under the Prevention of Corruption Act and for the charge of criminal conspiracy.
The agency has filed two cases against Jain, accusing him of receiving a bribe of Rs 50 lakh through conduits and abusing his official position to enhance the credit limits of some companies in violation of laid-down procedures.