"List the matter on September 20, 2016," a bench of justices A R Dave and L Nageshwara Rao said.
The bench accepted Swamy's plea to adjourn the matter after he mentioned it as the bench assembled to begin the day's proceedings.
The Centre had earlier termed as "not maintainable" and opposed Swamy's plea saying his petition was not a "writ petition but a personal interest litigation" as NBW has been already been issued against him with regard to alleged hate speeches.
He had argued that his plea for quashing of NBW was already before the Gauhati High Court.
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The apex court was hearing Swamy's plea against the order of a trial court in Assam which issued an NBW against him for failing to appear before it on March 19 last year in a case of alleged hate speech.
Swamy, who is facing a court case in Karimganj in Assam for allegedly delivering the inflammatory address at Kaziranga University, had sought relief from the apex court in the case.
He has also challenged the constitutional validity of Section 153 A (promoting enmity between different groups on grounds of religion, race, place of birth, residence, language, etc, and doing acts prejudicial to maintenance of harmony) of the Indian Penal Code.