Mr Khan’s latest bid, which could stop Brexit in its tracks, comes after Theresa May’s Chequers proposals were rubbished by MPs and EU bosses.
The former Labour MP for Tooting, who is a staunch Remainer, is heaping pressure on the Prime Minister to offer a second Brexit referendum because he believes quitting the bloc poses a significant threat to the UK.
Writing in The Observer, he said: “It’s no secret I campaigned for the UK to remain and I’ve said all along that any form of Brexit – no matter how hard or soft – would result in fewer jobs, less prosperity and a reduced role for Britain on the world stage.
“The evidence for this is irrefutable.”
Mr Khan argued there were only two possible outcomes in the Brexit talks: a bad deal or “no deal” at all, which he claimed would be even worse.
He said: “Both these scenarios are a million miles from what was promised during the referendum campaign, only further exposing the lies and mistruths sold to the public.
“They are both incredibly risky and I don’t believe Theresa May has the mandate to gamble so flagrantly with the British economy and people’s livelihoods.”
Although Mr Khan said he respected the will of the British people, he said could not accept Mrs May’s botched negotiations.
He said: “At every stage, her Government has looked unprepared and out of its depth, resulting in a litany of wrong turns.”
Mrs May has adamantly rejected calls for a second Brexit vote and has instead offered MPs the chance to have their say on the final terms her Government thrashes out.
Mr Khan’s intervention will ratchet up the pressure on his party’s leader Jeremy Corbyn to endorse a “people’s vote”.
The Mayor of London’s appeal comes after Liberal Democrat leader Sir Vince Cable claimed a no-deal Brexit would plunge the UK into a recession.
The former coalition Cabinet Minister made the gloomy prediction in an interview with The Independent ahead of the Liberal Democrats annual conference.
He said: “There almost certainly would be a period of recession.
“I don’t want to add to the drama the Government itself is creating.
“The fact that they are talking about spending billions of pounds on preparations, the fact that they are talking about calling out the army for goodness sake.
“I think all the economic stuff suggests you’d have a really big hit to the economy.”
The Mayor of London’s appeal also coincides with Liberal Democrat minister Tom Brake’s call to Remain MPs to “break cover” and back a second referendum on the UK’s EU membership.
In his speech at party conference, Mr Brake said: “My vision of a better Britain is one that will be delivered by using the real Brexit dividend, the financial dividend liberated by cancelling Brexit, freeing up cash to boost skills, training, education, infrastructure, housing, productivity.
“If we secure a final say on the deal, and if the country backs remaining in the EU, we must pledge to use every penny of taxpayers’ hard-earned money, such as the £3billion earmarked for Brexit, to regenerate the towns, cities and communities in the greatest need.”
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