Under the proposals, the link from the airport to Paisley Gilmour Street Station will be built in the first phase and then extended to the city centre via the new National Manufacturing Institute, Renfrew town centre, Braehead and the Queen Elizabeth University Hospital, before crossing the River Clyde.

Scottish Government approval for it to be a national transport project is needed but consideration of a metro has been included in the Programme for Government, where it states: “We are committed to working with partners to consider the commission’s recommendations, and as part of the second Strategic Transport Projects Review, we will consider the potential for a Glasgow Metro, which builds on the planned City Region Deal investment to link Glasgow Airport and the new National Manufacturing Institute for Scotland to Paisley Gilmour Street.”

Both council leaderships are now in agreement and approval of the full councils will be sought once a feasibility study is carried out.

Glasgow City Council leader Susan Aitken said the case for a metro is “compelling”.

She will give an update on the plans at the State of the City Economy conference in Glasgow on Friday.

Ms Aitken said: “It’s less than a year since the expert Connectivity Commission proposed a Glasgow Metro but already our ambitions are making considerable progress.

“The Scottish Government has pledged to work with us on the commission’s recommendations, while Glasgow and Renfrewshire councils will undertake the feasibility work required to ensure it can be considered as a key, national project. Funding is already in place to deliver a first phase, linking Paisley with Glasgow Airport.”

She said it made sense for the airport link to be the first phase in a city-wide network.

Ms Aitken added: “We need to improve how our people get around if Glasgow is to build on its potential as a global city. For these reasons and more, the case for a Glasgow metro is compelling.”

The council is working with Renfrewshire to deliver the airport link as part of the £1.1 billion City Deal.

A spokeswoman for Renfrewshire Council said: “A public transport link from Paisley Gilmour Street to Glasgow Airport is critical to improving sustainable travel choices and will make a significant impact on improved journey times and connections for business and for airport users and employees, reducing the impact of traffic on the M8 at a key corridor and supporting the thousands of new jobs that will be delivered next to the airport at the Advanced Manufacturing Innovation District Scotland.

“Subject to approval by elected members and the City Region Cabinet, we will work closely with Glasgow City Council and Transport Scotland in progressing these proposals.”

Mark Johnston, managing director of Glasgow Airport, added: “The city’s metro proposals are compelling and demonstrate real ambition to deliver a much-needed, sustainable transport system.

“In particular, we welcome the commitment to deliver the airport corridor first and the Scottish Government’s support for the project.

“This will have a transformative effect on the major employment sites along this route, alleviating congestion, reducing emissions and boosting public transport use.”