Pop fans had waited 14 years for Robbie Williams to bury the hatchet and reconcile with his former bandmates Gary Barlow, Howard Donald, Jason Orange and Mark Owen. But their big reunion at a Children In Need concert last November was held up by Mr Cameron blundering into their midst.
The politician had ventured backstage at London's Royal Albert Hall to chat to Barlow, who lives in his Oxford constituency.
Mr Cameron said: "I heard this commotion behind me and I didn't turn around straight away - typical politician, I carried on yakking away - and then I turned around and it was Robbie Williams.
"I said, 'Oh my God, I'm sorry. I don't want to get in the way of this'. And he said something like, 'I've been waiting 14 years, another couple of minutes won't make any difference'.
"I got out of the way and thought I had better get back to my seat quickly."
Williams shared a stage with Take That later that night.
Mr Cameron was speaking to DJ Jamie Theakston during an informal interview on radio station Heart 106.2.
He discussed his taste for country and western music, an addition to his previously stated musical predilection for The Killers, Radiohead and The Smiths.
Asked how mornings start in the Cameron household, he said: "It starts some time before seven o'clock, normally with the arrival of a small child into the marital bed - either Elwyn or Nancy.
"Sometimes they pitch up in the middle of the night - there's a lot of bed-hopping happens in my house. They do tend to wander in at various times of night, and sometimes you wake up as a result in a different bed."
Mr Cameron denied it was "squeaky bum time" - a phrase famously used by Sir Alex Ferguson during a Premiership title race - in the election campaign.
"There's certainly nothing squeaking over here," he laughed.
He acknowledged that the upcoming general election would be "a tight contest", but insisted a close race was a good thing as it would focus voters' minds on the choice between five more years of Gordon Brown or a change to a Tory administration.
Despite the Tories' recent slump in the polls, Mr Cameron said that he wanted the election to be called as soon as possible, adding that it was not too late for Gordon Brown to go to the country on March 25 by declaring the election today or tomorrow.
"I think a close race is a good thing in many ways. People are not just cynical and apathetic about politics, they are angry with politicians after the whole mess of expenses. Turnout at elections is coming down.
"Maybe a close race, where people see a real choice and a real contest between the two teams that can run the country, will enliven interest in politics, get people involved and make people feel that they ought to take part."
Mr Cameron said he did not want to hide the fact from voters that Britain faced difficult times ahead.
"We have had a really long deep recession, we have got a huge deficit, we have got to lift this cloud of debt off this country to get us moving again," he said. "What the Conservatives are saying about rolling up our sleeves and getting on with it, I think, is right.
"It will be tough for a couple of years in this country, and I don't want to hide that from people, but there is a really bright light at the end of the tunnel and that's what we have got to get to."
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