A bench of Justices Vikram Nath and Sandeep Mehta issued notice to the state asking for its response.
It tagged the plea for hearing with other similar petitions.
The top court was hearing a plea filed by academician Roop Rekha Verma, who hails from Lucknow, and others against the amended law.
The petitioners have called certain provisions of the Uttar Pradesh Prohibition of Unlawful Conversion of Religion Act amended in 2024 “vague and overly broad” arguing their ambiguity infringed upon free speech and religious propagation.