Downing Street and the White House are believed to be looking at options for the visit.
Mr Trump accepted the Queen's invitation for him to travel to Britain on a state visit when UK PM Theresa May visited Washington in January.
But the prospect of a state visit caused much controversy and reportedly led Mr Trump to change his mind.
It was said he did not want to visit while there was potential for protests against him.
Nearly two million people signed one of a number of petitions saying Mr Trump should not be invited to the UK on a state visit.
What is a state visit?
Senior politicians, including Labour leader Jeremy Corbyn and former Lib Dem leader Tim Farron who called Mr Trump "an embarrassment to America", said the visit should not go ahead.
Questions were also raised as to why Mr Trump was invited so soon after taking office - it was two-and-a-half years into his first term before his predecessor Barack Obama came to the UK for his state visit.
Mrs May extended the invitation to the president just as he sparked anger across the world with his proposed travel ban on visitors from seven predominantly Muslim countries.
The mayor of London, Sadiq Khan, clashed with Mr Trump over the immigration measures, later saying the UK should not "roll out the red carpet to the president of the USA in the circumstances where his policies go against everything we stand for".
Confirmation of Mr Trump's visit had been expected in last month's Queen's Speech, in which the Queen set out her official plans for the year.
But there was no mention of it, and October was later mooted as a possible date.
The White House denied reports that Mr Trump had reservations about visiting, saying they looked forward to working out a "mutually acceptable date".
The Queen usually receives one or two heads of state a year. She has hosted 109 state visits since becoming monarch in 1952.
State visits are grand, ceremonial occasions, but have a political purpose too, with governments using them to further what they see as Britain's national interests.

Led by Durham Wildlife Trust, the scheme will see a preservation plan drawn up for the River Skerne.
It will include initiatives to protect natural habitats as well as industrial and agricultural sites.
If successful, organisers say a further £2.6m from the Heritage Lottery Fund will be unlocked as well as £500,000 from other sources.
The project, called the Bright Water Landscape partnership, covers 200sq km (77sq miles) and focuses on the River Skerne from Hurworth Burn reservoir in East Durham to South Park in Darlington.

Asif, 33, and Butt, 31, were banned along with Mohammad Amir after spot-fixing incidents during a Test against England at Lord's in August 2010.
Amir, 24, is back in the Test team but Asif and Butt are yet to be recalled.
"We are waiting for them to prove their case," said Pakistan Cricket Board chairman Shahryar Khan.
"They'll have to knock the door down before they are considered."
All three men were jailed for their parts in the incident, which saw Amir and Asif deliberately bowl no-balls as part of a betting scam.
Khan added: "Amir, from day one, has admitted his faults and apologised.
"The other two didn't admit from day one, only once they were sentenced by the court did they admit. There is a difference there."
Amir was given a muted reception at Lord's on Friday as he bowled for the first time in a Test since being banned.
US President Donald Trump is likely to come to the UK next year, the BBC understands.
[NEXT_CONCEPT]
A project to conserve a North East river catchment area has been awarded £223,000 of Lottery funding.
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Mohammad Asif and Salman Butt have been told they must "knock the door down" before they are considered for a return to the Pakistan team.