Madame Tussauds has stepped back from claims it had no plans for a wax model of Gordon Brown, after it emerged it wrote to the prime minister last week.
Mr Brown has been prime minister since last June
Earlier spokesman Ben Lovett said the museum had "no plans" to make a model of Mr Brown until the next election.
But Downing St produced a letter dated 3 March asking Mr Brown to sit for modelling within the next six months.
Later Mr Lovett said: "We are just waiting to hear back from Downing Street".
The museum decided last May to put off making any model of the prime minister until after the next general election.
Mr Lovett confirmed earlier: "At the moment we have no plans to make Gordon Brown.
"We are going to wait for a general election to see what will happen because that's the ultimate test of public opinion.
"We are always continuing to monitor public opinion so if there's a surge of support then we will reconsider."
Mr Lovett said Tony Blair, who left Downing Street in June, was still popular with foreign visitors, in the section containing world leaders.
He said: "Tony Blair is a very popular attraction. To tourists from America and Europe he is instantly recognisable."
Asked for a response, a Downing Street source said it was "rather puzzling" as Tussauds had just asked Mr Brown to sit for them, some time in the next six months.
A letter to Downing Street from Tussauds' creative team sent last week said he had been chosen "to be honoured by the Tussauds' team".
It said the museum's own research had found Mr Brown to be "a hugely popular choice amongst local Londoners and tourists from around the world".
A Downing Street source told the BBC that Number 10 responded to the letter, saying that they would consider the request.
He added: "The prime minister has more important things than a waxwork to worry about."