The Mayor of London, Sadiq Khan, last month announced six new cycle routes including a new link from Rotherhithe to Peckham.
City Hall says design work will begin immediately but it could take up to five years for the plans to come to fruition.
One of the six proposals is a 4km route which would link Canada Water and Surrey Quays with Peckham and connect up other cycling routes such as Quietway 1 and the proposed Cycle Superhighway 4.
Dr Will Norman, London’s Walking and Cycling Commissioner, said: “High-quality cycling infrastructure cannot simply be an option available to a minority of Londoners, and our new Strategic Cycling Analysis shows that there is huge potential for getting more people to cycle all across the city.
“Backed up by the Mayor’s record investment, we’re working in close collaboration with London boroughs to design six new cycle routes that would connect key town centres, join up existing cycle infrastructure, and start to create a genuinely pan-London network of cycle routes accessible to millions more Londoners.”