Both members for Victoria ward, which covers the Stour Centre, Cllr Harold Apps (Con) and Cllr Dara Farrell (Lab), said they support plans to close the car park earlier.
Cllr Apps said: “It has been going on for some time, and it is annoying for people.
“They rev their engines and do hand brake turns. I’ve been in committee and heard them doing it. It must be awful for the residents.”
Cllr Farrell added: “Hopefully the new times will help. Just as long as they don’t affect the centre’s members and staff.
“It is important not to inconvenience people.”