The bench comprising Justice B.R. Gavai and Justice P.K. Mishra heard the pleas and issued notices returnable in three weeks.
The case will be listed for further hearing on October 30.
It is alleged that the news portal received money for running pro-China propaganda.
Last week, the Delhi High Court dismissed pleas by Purkayastha and Chakraborty and upheld the police remand. Both of them have been in Judicial custody since October 10.
On October 3, the Delhi Police arrested the duo after multiple raids, including at NewsClick office, and residences of editors and reporters of the news portal.
Purkayastha reached the apex court on Monday after his petitions were dismissed by the high court. Appearing for the accused, senior advocate Kapil Sibal in a special leave petition submitted before a bench comprising CJI D.Y. Chandrachud and Justices J.B. Pardiwala and Manoj Misra had requested an urgent listing, saying that the editor was 70-year-old.
IANS