He said there are 79 people "either dead or missing, and I sadly have to presume [they] are dead".
The Metropolitan Police has launched "wide ranging" investigation, looking at the construction of the building, the recent refurbishment, how it was managed and maintained, and fire safety measures.
"Whilst I've said I think there may be changes, I don't think those changes will be as significant as the changes we've seen over the last few days", he said.
"Khan went on to call Wednesday's massive Grenfell Tower fire "a preventable accident that didn't need to happen" - and said the tragedy was "a outcome of the mistakes and neglect from politicians from the council and from the government".
Cundy said there may have been other people in the tower that police are not aware of, which would add to the final death toll.
British Prime Minister Theresa met the families of the victims on Saturday and assured them a total compensation of $6.4 million for emergency costs and for finding homes in nearby locations within three weeks, according to Bloomberg.
May made the announcement while speaking to survivors of the fire that on Wednesday ripped through the 24-story Grenfell Tower in Kensington while most residents were sleeping, leaving dozens dead, of which 30 have been found and identified, and hundreds homeless. "The work to search the building is challenging, but naturally could never be done quickly enough for those now having to live with the uncertainty of knowing where their loved ones are".
The images were taken by a police recovery team that has been working with members of the London Fire Brigade and the London Ambulance Service to comb through the remains of the charred building.
New cladding on the building has since been named as a potential factor in the quick spread of the fire.
"My understanding is the cladding in question, this flammable cladding which is banned in Europe and the U.S., is also banned here", Hammond told the BBC earlier.
The Northern Ireland Housing Executive has confirmed that the cladding systems it has used are not the same as the one on the Grenfell Tower block.
Some Grenfell residents had warned months ago fire safety issues at the tower meant that it was at risk of a "catastrophic" event.