Rod Reed has asked Bromley Council to confirm that all new build flats in the borough will be required to have a sprinkler system fitted.
London Fire Brigade (LFB) has previously called for all purpose-built residential blocks to have sprinklers installed, irrespective of height.
Current legislation states that only residential blocks taller than 11m must be fitted with a sprinkler system.
The London Plan, which serves as a planning framework for developments in the capital, does not explicitly mandate sprinklers in buildings, but urges developers to explore installing them “at an early stage of building design”.
Mr Reed said: “No block is safe without a sprinkler system. It seems that the lessons of Grenfell are not being learnt.
“Historically, across the capital we have many high rises which do not have sprinkler systems and are therefore potentially highly dangerous to residents in the event of a fire.”
He added that he was also concerned that a 230 home development at the site of the Blenheim Shopping Centre in Penge has been criticised by LFB for not “deferring to the spirit” of fire safety guidance.
Developers Hadley Property Group and Clarion Housing Group reduced the height of one of the buildings to avoid the need for a second staircase.
Under new legislation, any residential building more than 18m high needs to have two staircases in case of a fire.
One of the blocks in the proposed Blenheim Square development was initially designed to be 18.74m high with a single staircase.
Hadley Clarion later revised the design to reduce the overall building height down to 17.7m, just 30cm below the threshold.
A spokesperson for the Hadley Property Group and Clarion Housing Group told the BBC: “All the buildings in the scheme comply fully with the latest building regulations and fire safety standards.”
Bromley Council approved the plans in March last year, with the Greater London Authority also giving its approval in December.
In an email responding to Mr Reed, chairman of Bromley’s development control committee, Cllr Alexa Michael, said that the Blenheim Centre scheme “complied with the relevant requirements in respect of second staircases”.
She added: “As such, the council would have had no policy or legislative basis to refuse the application or insist on a second staircase for this scheme.
“The application is at an advanced stage, and I can see no basis for recalling it to committee.”
On the topic of sprinkler systems, Cllr Michael said: “With regard to new schemes coming forwards, the council can only require what planning policies demand with regard to fire safety.”