LONDON — The White House and Downing Street poured cold water on Monday on news reports that President Trump was considering a quick visit to Britain next week, a possibility that had excited the many Britons eager to protest his presence in the country.

According to British newspapers including The Times of London and The Guardian, which cited unidentified British government sources, the White House had suggested that Mr. Trump could stop by Downing Street after visiting Turnberry, one of his golf resorts in Scotland, during a trip to Europe.

Mr. Trump would visit Britain between the Group of 20 summit meeting in Hamburg on Friday and Saturday and celebrations for Bastille Day in France on July 14.

Unless Mr. Trump were to decide to return to Washington and then fly back to Europe, those two commitments would leave him with several days to kill, a long time in politics.