Heston Pool will close its doors for the final time next Friday (February 14) so work can begin on a new leisure centre at the site.
The ageing 1930s building in New Heston Road is set to be replaced with a new £13.5 million centre, including a 25-metre main pool, a 100-workstation gym and a cafe.
The new centre, which will be largely funded through the sale of nearby land for housing, is expected to open in November 2015. The library, Heston Village Hall and the current play area will remain open during the building work.
In the meantime centre members will have their membership transferred to allow them access to one of four other health centres.
Councillor Ajmer Grewal, cabinet member for leisure and health at Hounslow Council, said: "It will be sad to see Heston Pool close after all these years of serving the local community, but people know that it is no longer fit for purpose.
"The new centre will provide a wider range of modern facilities, and give users a centre they can be proud of.
"This is the last link in the chain for the modernisation of our leisure centres, and I hope residents will to enjoy using it for years to come."