Calls have been made for Havering to set some of London's "best" building safety standards.
Councillor David Taylor, who represents the St Edward's ward, has tabled a motion on behalf of the Conservative Group asking Havering Council to develop "stricter building safety requirements, going above and beyond those required by law".
This proposal is set to be debated in a council meeting on September 4 - the same date as the Grenfell Tower Inquiry report is due to be published.
Councillor Taylor said the Grenfell Tower disaster was a "wake-up call" to everyone in housing, and should "guide us" to create "some of London's best safety standards".
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He told the Recorder: "The Grenfell Tower disaster was an unprecedented wake-up call to everyone in housing and government, the Inquiry report, due to be published on September 4th, will make for very difficult reading and will outline what must change.
"It is only right that, as we are going to be the target of so many new developments, we develop some of London's best building safety guidelines."
He added: "Kensington and Chelsea have shown how this can be done and they are setting the standard, the Grenfell Inquiry report will further guide us."
After the Grenfell Tower fire took 72 residents' lives in 2017, the government passed the Building Safety Act 2022, which introduced new rules for the construction, refurbishment, and occupation of high-rise residential buildings.
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However, some boroughs like Kensington and Chelsea have gone further and put stricter standards in their Local Plan, such as more detailed fire safety plans.
The Conservative motion reads: "This chamber recognises the publication of the Grenfell Inquiry report and reaffirms our commitment to ensuring the safety of residents across the borough.
"The chamber calls for the Havering Local Plan to be updated to include stricter building safety requirements, going above and beyond those required by law, as achieved by Kensington and Chelsea."
An amendment from the Havering Residents Association, which is led by council leader Ray Morgon, calls for a review of the borough's local plan "to consider stricter building safety requirements for major developments and tall buildings".
Labour also called for the local plan to be updated.
Councillor Taylor said: "I hope that this commitment to resident safety, by all sides of the political spectrum, will be encouraging to local residents."
The Recorder has contacted Councillor Morgon for comment.
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