The council is set to vote on whether 20mph speed limits could be rolled out across the borough.
Councillors are expected to develop a strategy to introduce the speed limit in roads where people request them, following a trial run in Putney last year.
A paper outlining plans for the scheme will be discussed by the Strategic Planning and Transportation Overview and Scrutiny Committee next week.
Last November a 20mph speed limit trial was introduced in the junction of where Dover House Road, Putney, meets Putney Heath.
During the two week trial traffic counters found 12 roads experienced traffic improvements, while less people were speeding.
There were no other traffic calming measures in place during the trial.
The council document said: "A review of the highest vehicle speeds recorded in each road in 2012 shows that typically for most roads less than one per cent of all vehicle speeds recorded during a 24 hour period exceeded 35mph.
"Records show that many of these speeding vehicles were motorcycles whose speeds are particularly difficult to reduce without speed reducing features in the form of speed humps, since speed cushions allow motorcyclists to pass between the gaps unrestricted." .
Other areas which have already showed an interest in a 20mph limit include Furzedown, Southfields, Bedford and the Shaftesbury Estate.
The committee will also discuss improving the junction at Putney Heath and Dover House Road.
A decision will be made at the town hall on June 24.