Campaigners and councillors are calling for a camera to be installed in Lansdown, near Lansdown Road Motors, where the average speed is estimated to be around 30mph.
The camera would be similar to the one installed on the A46 Bath Road in Rodborough – which clocked nearly 25,000 speeders in just one week.
Persistent speeders would be sent a warning letter, and if further action is needed could be paid a visit by the police.