Donald Trump has said he has been invited to Downing Street for talks with David Cameron.
The Republican presidential hopeful described the Prime Minister as a "nice guy" and said they will "do just fine".
No 10 insisted there were "no confirmed dates" for a meeting but said it was "long-standing practice" for premiers to meet nominees in White House races.
Mr Trump has seen off the competition in the Republican race but has yet to be formally crowned the official candidate.
The entrepreneur told US news channel MSNBC: "I will do just fine with David Cameron. I think he's a nice guy. I will do just fine."
"But they have asked me to visit 10 Downing Street, and I might do it," he added.
Mr Cameron has faced calls from the Trump camp to apologise after he branded the Republican's call for foreign Muslims to be temporarily banned form entering the US as ''stupid, divisive, and wrong'' in the Commons last December.
The premier has refused to row back from the criticism but has insisted he " will respect the outcome of whoever wins" the presidential election.
A Downing Street spokesman said: " It's long-standing practice for the PM to meet with the Republican and Democrat presidential nominees if they visit the UK.
"Given the parties have yet to choose their nominees, there are no confirmed dates for this."
No 10 confirmed in April that Britain's ambassador in the US has been ''engaging'' with Mr Trump in a move that was seen as an attempt to build bridges in preparation for the possibility of having to deal with the property tycoon.