It was revealed that only two per cent had full sprinkler systems.
"I think Grenfell should be a turning point", she told the BBC. 'I support retrofitting; for me where you can save one life then it's worth doing.
'This can't be optional, it can't be a "nice to have", this is something that must happen.
Graham Tomlin, the Bishop of Kensington, backed Cotton's call.
The public inquiry into the Grenfell fire, chaired by retired judge Martin Moore-Bick, will open on Thursday.
In England, the Building Regulations state that sprinkler systems need to be installed in new-build blocks of flats more than 30m in height.
Sprinkler systems in just 2% of social housing tower blocks, probe finds
Following the death of six people in the Lakanal House fire in south London in 2009, a coroner recommended that the government should encourage housing providers to retrofit sprinkler systems.
The Fire Sector Federation has submitted its recommendations for the Terms of Reference for the Public Inquiry into the Grenfell Tower fire.
The FSF believes that the terms of reference for the Inquiry should be wide ranging and considers that, as well as the immediate cause of the fire and its spread, the Inquiry should investigate whether there is now a systemic inadequacy in the fire safety control, regulation and enforcement regime across the built environment in England.
"The tragedy of Grenfell means the expectation is there will be a quantum leap forward as a result of the various investigations conducted by the Government and the recommendations of the public inquiry once it is done investigating".
The BBC questioned 56 local authorities and housing associations in towns and cities and received responses relating to about half of the UK's estimated 4,000 tower blocks.