A report into building regulations following the Grenfell Tower fire's stopped short of calling for an outright ban on flammable building cladding.
Grenfell Tower, a 24-storey social housing block, was engulfed in flames after fire broke out in the middle of the night on 14 June 2017.
It led to high rises in Sunderland being looked at, and work is now underway at the towers on Dame Dorothy Street having their cladding replaced this week.
Speaking in the House of Commons three hours after the publication of the review, Mr Brokenshire said new laws would be introduced that delivered "meaningful and lasting" change to the building safety system.
But, responding to criticism of her report, she said she was open to seeing combustible cladding banned in the future.
Hackitt highlighted a number of key issues that had been identified as underpinning the system failure, including ignorance, with those who need to read regulations and guidance not always doing so, or misunderstanding it when they do.
In her review, to be published on Thursday, Hackitt is expected to argue instead for wider reforms of the system, including toughening up fire testing and the way buildings are certified as safe. Interim safety measures are in place in all affected buildings and latest figures from the Ministry of Housing, Communities and Local Government show that over 65% (104 out of 158) of social housing buildings with unsafe cladding are now going through the process of remediation.
Theresa May announced on Wednesday the Government will fully fund the removal and replacement of risky cladding materials from tower blocks by councils and housing associations.
Social landlords have been working hard to replace unsafe cladding. "When we met Dame Judith, we looked her in the eye and we asked her - among other things - to ban risky cladding".
The chancellor, Philip Hammond, said the decision was taken partly because "we do not want vital safety work to put at risk our high-priority housebuilding programmes". "So we have chose to provide funding to ensure that housing associations and councils can carry out this vital work".
There is now no funding for dozens more privately owned blocks which are affected and Downing Street said it expected private building owners to "take responsibility for removing and replacing and to not pass the cost on to leaseholders". It has therefore announced additional funding for the social sector. The housing secretary, James Brokenshire, admitted in the Commons that the community would feel "disappointed and let down". The Local Government Association, which represents councils, said: "It is great that the government has honoured its commitment from last summer to meet the unexpected exceptional costs for councils". People are not safe in their homes.
The causes of the Grenfell Tower fire are the subject of an inquiry which is due to start public hearings next week.