Three passenger trains an hour would run on an existing freight line, linking Brentford with the planned Crossrail station at Southall, under the proposal being championed by Hounslow Council .
A new station would be created at Transport Avenue, Brentford, close to the GlaxoSmithKline and Sky offices, and this could in due course be connected to Brentford station.
Members of the council's ruling Labour group agreed at a cabinet meeting on Tuesday (September 20) to push ahead with plans for the new rail route.
The council had already committed up to £750,000 to draw up detailed designs.
Cabinet members approved plans on Tuesday to identify £1.8m for Network Rail to complete a more thorough review of the logistics on the council's behalf.
'High value for money'
A report by Mark Frost, the council's head of traffic and transport, said initial studies had shown the project was "technically viable" and represented "high value for money".
Mr Frost's report states that £1.35m of "section 106" money from developers is already available and it may be possible to secure additional funding from other sources including Transport for London (TfL).
getwestlondon reported earlier this year how the council believes the new Brentford-Southall link could be running as soon as 2020.
Rail link could create new jobs along Golden Mile
The proposed Brentford-Southall rail link is part of the council's drive to regenerate the so-called Golden Mile, a corridor along the A4 which was once renowned as a thriving industrial hub.
It announced plans in 2014 to create 30,000 new jobs and build 1,600 homes in the area, restoring the sparkle to what was one of the borough's gems.
The council claims the new railway line would increase by half the number of working age adults able to access the corridor within an hour via public transport, making the Golden Mile a more attractive proposition for employers.