A division bench of Chief Justice Bhaskar Bhattacharya and Justice J B Pardiwala scheduled the next hearing for March 3 due to the absence of one of the petitioners.
Two lawyers, Girish Das and Ratna Vora, have moved the HC questioning the legality of the panel.
Vora, in her affidavit, has stated the Commission was set up by Modi government but he himself was facing the allegations.
She has also questioned the public interest in setting up the Commission.
News portals Cobrapost.Com and Gulail.Com had claimed in November last year that Amit Shah, then the Minister of State for Home, had ordered illegal surveillance of a young woman at the behest of "Saheb". They also released taped conversations between Shah and suspended IPS officer G L Singhal to support the claim.