Trump's tweets were criticised by a number of British politicians.
"MSM (mainstream media) is working hard to sell it!"
Attacks at the London Bridge and Borough Market kill seven and injure nearly 50.
"As the mayor of London I want to send a clear message to the sick and evil extremists who commit this disgusting crimes; we will defeat you".
A representative for Khan told Business Insider on Monday: "Nothing has changed since yesterday". "It's wrong to say anything else".
Khan, while being interviewed by the UK's Channel 4 News following a vigil held near the city's famous Tower Bridge, said that as he deals with the fallout from the latest attack on the British capital, he hasn't "got the time to respond to tweets from Donald Trump".
Trump was commenting Sunday evening on the vehicle and knife attack that killed at least seven people in London at the conclusion of a Sunday night fundraiser for Ford's Theater, scene of one of the most famous acts of bloodshed in American history: the assassination of President Abraham Lincoln. Prime Minister May, the Conservative Party leader, was asked earlier on Monday about Trump's criticism of Khan.
Chartered accountant Usman Saifi, 36, of Putney, south west London, was among a group of Muslims who mingled with the crowd wear bold blue t-shirts which read I Am A Muslim Ask Me Anything.
The United States and the United Kingdom have a "special relationship", and it's one that President Donald Trump has repeatedly tested since his inauguration. That offer from May has already been the subject of protests.
After Trump's tweet Sunday, the acting US ambassador to the U.K., Lewis Lukens, issued a statement commending Khan for his response to the attacks.
His spokesman reacted with disdain to Trump's remarks - in a display of disrespect a lowly political functionary would not normally dare to direct at a US President.
Khan brushed aside a question about the US president's criticism.
Sanders responded that the Trump wasn't. "There are many things about which Donald Trump is wrong", he said.
Corbyn speaks to a crowd June 5.
"Where are the self-described serious foreign policy minds in the GOP, the ones who often lecture the nation on the meaning of patriotism and leadership on the cable talk shows and Sunday morning public affairs programs?" "You besmirch the presidency, you taint previous Presidents with your behaviour & you bring shame on your great country and its great people". He followed that about eight minutes later with a more conventional expression of concern: "Whatever the United States can do to help out in London and the U.K., we will be there - WE ARE WITH YOU". Khan, the first Muslim mayor of London, criticized Trump's views on Islam and for his immigration ban.