The council clarified that there were no plans to limit the number of buses on the road and said the same number of buses would pass through the shops.
It claimed that relocating bus stops would still be accommodated “within” the Burges and Cross Cheaping.
Some people were against the planned new bus gate on Greyfriars Road, which would only allow buses, taxis and bicycles to use the street beyond the junction with Warwick Road.
A council report explained that it was part of wider plans to move traffic from the city’s inner roads to the Outer Ring Road.
Officers recommended approval, but added they needed to ensure they work closely with businesses.
According to the report, work to implement the changes would begin in early January if approval were given.
The council’s cabinet member for urban services, Patricia Hetherton, will have the final say on Friday.