Advocate Ashoke Kumar Ghosh moved the Appellate Division seeking its directives to announce a new schedule for holding the polls that coincide with Saraswati Puja.
The appeal will likely be heard by the Chamber Judge on Sunday, he said.
He had moved the High Court on January 6 seeking deferment of the polls. He pointed out that Saraswati Puja is celebrated at all universities, colleges and other educational institutions across the country.
Ashoke argued that since polling stations will be set up in different educational institutions in the city for the polls, the celebrations of the Saraswati Puja will be hampered.
But the High Court turned down his plea on January 14.
The bench passed the order considering the progress in the election process and the Secondary School Certificate (SSC) examinations scheduled to take place on February 2.
On December 22 last, Chief Election Commissioner KM Nurul Huda announced the election schedule for the polls to DNCC and DSCC, fixing January 30 as the voting date.