GLA member Tony Arbour is to ask mayor Boris Johnson for a new bus route between Richmond and Kingston Hospital.
Cllr Arbour, the Greater London Assembly member for Richmond and Kingston, said he had been contacted by residents who found making the journey hard, as there is no direct route.
"Transport for London has announced plans to improve seven bus services in my constituency and that is very welcome news for all those who use the buses," he said. "However it is an opportunity missed.
"I shall be asking Boris Johnson to amend an existing route so that a direct link between Richmond and Kingston Hospital is established. I believe the case for such a service is compelling and would be of huge benefit to many of my constituents."
Tony Adams, chairman of Kingston Area Travellers' Association (KATA) said the best route to extend would be the K5 which runs from Morden to Ham. "There's no need for a new route, but we've been asking for this one to be extended for some time now. This would be the logical route to alter because although it's one of the longest routes in the area it wouldn't have to be extended too far. It could run via Coombe Road.
"It's something we've been thinking about for years and we've asked in the past for the 371 to be diverted but this was refused. It'd be good news if it was approved – we're always keen to see new routes."
Cllr Arbour is due to raise the issue with Mr Johnson during mayor's question time on June 17.