Justice Thakur will decide if the petition is to be heard along with curative petition already pending in the apex court.
Section 377 criminalises any 'unnatural' sexual contact by a person including acts of homosexuality.
The Supreme Court, which reopened today after a summer break, had in February agreed to re-examine its December 2013 verdict that re-criminalised gay sex.
The apex court also sent all curative petitions to a five-judge constitution bench seeking a review of the verdict described by act.
There have been demands to repeal the Section as it hampers the rights of LGBT community.