The Evening Standard reported that Mr Trump would stay with the U.S. ambassador rather than the royal family as he held talks with Theresa May and other officials.
"We can question the wisdom of Brexit Britain appearing overly desperate for friends, not least as the offer of an early state visit has been withdrawn", the Standard said in a commentary.
Downing Street declined to comment but has said that its position has not changed since the offer was extended and accepted.
The visit will not include a stay with the Queen like Barack Obama enjoyed in 2011.
AFP 2017 Arthur EdwardsBritain's Queen Elizabeth II and Britain's Prince Philip Duke of Edinburgh are driven along the Mall during the Patron's Lunch
May invited Trump for a state visit during a trip to Washington in January, shortly after he was inaugurated as president.
Thousands of people launched protests against the move, while more than a million people signed a petition to stop the trip from going ahead.
A United States diplomatic source told The Telegraph: "There are plenty of chances to get the President over here".
The London Evening Standard said the visit - said by sources to be set for early 2018 - is expected to be less controversial than if he was welcomed formally by the Queen, and it was likely he would stay at the USA ambassador's residence rather than Buckingham Palace.
"Exact dates for President Trump to visit have not yet been arranged", she said.
Theresa May may sack Boris Johnson over Brexit stance
A minister told The Telegraph : 'Let's say she tries to move Boris to defence secretary. "I do not know who these people are".