Collegedale Mayor Katie Lamb says no special emergency called meeting is needed and the matters raised by three other commissioners can be handled at the next regular meeting on Sept. 16.
Meanwhile, Vice Mayor James Hardeman resigned on Friday, officials said.
Vice Mayor Tim Johnson, along with Commissioners Debbie Baker and Ethan White, had asked for the special meeting after two more Collegedale police officers were fired and PIO duties were taken away from Tonya Sadler.
A statement issued by Bridgett Raper of the Small Cities Coalition says, "Mayor (Katie) Lamb of the city of Collegedale determined matters for discussion of the special called meeting will be on the agenda for the regularly scheduled meeting on September 16 based upon the need to give adequate public notice in accordance with the Open Meetings Act."
Ms. Raper was told to handle the Collegedale PIO duties instead of Ms. Sadler.
Earlier, a Collegedale officer filed suit, saying he was fired when he questioned an alleged quota arrest system.
Attorney Janie Varnell said the additional officers were fired over the same issue. She said they also plan to file suit.