A bench headed by Chief Justice of India SA Bobde said this on Thursday afternoon.
The announcement came after senior advocate Kapil Sibal sought urgent hearing of CAA matters.
The centre has not filed its reply till date, however, Attorney General KK Venugopal informed the bench that the Centre would file a reply in a few days.
The bench also comprises justices BR Gavai and Surya Kant.
The Supreme Court on January 22 said it will hear Assam and Tripura-related petitions on CAA separately from the other pleas on the Act.
The apex court gave four weeks to the central government to file their reply to the petitions.
Taking 144 petitions on CAA, the Supreme Court on Wednesday made it clear that it will not grant any stay on the Citizenship Amendment Act (CAA) without hearing the Centre.