Chris is renowned for grilling his guests on his morning show. And as Mr Cameron was promoting his new book, the former politician made the admission when questioned by Chris. Chris said: “Did Barack Obama really tuck you in bed one night?”
Mr Cameron replied: “Yes he did. I promise it is a true story.
“I went to see him in 2012 he took me off to a basketball game in Ohio and we’re flying back on Air Force One.
“And of course at that time of night it’s late in America. But it was like 4am in the morning in the UK.
“And he said David you look a bit tired why don’t you go and sleep on my bed.
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“And I said, well thanks very much and so he took me up to the sort of nose cone of Air Force One. There was a blanket with the White House crest on it and I lay on the bed.
“He said I’ll put the blanket over you and as he was tucking me in, he said I bet I bet you know Roosevelt never did this for Churchill.
“So who says the special relationship isn’t going strong? But we got on very well. I liked him, he was extremely nice.”
Mr Cameron was an MP for Witney between 2001 and 2016.
He rose to become Prime Minister in 2010, going into a coalition with the Lib Dems.
However, he resigned from the post after the UK voted to leave the EU.
He added: “Politics is a brutal business and you know you have to be brutal by moments.
“I just thought the more you know Conservatives on my side of the campaign attack Conservatives on the other side of the campaign the more it would look like a blue on blue Tory psychodrama.
“And the more that became the case the more you know Labour voters in in in the Midlands and in the north of England who might want to stay in Europe the more they’re saying hang on this is just some Tory row I’ll stay out of it.”
It comes as Chris made a hilarious Brexit remark as he reflected on his departure from BBC Radio 2.
Mr Cameron is blamed by Remain voters for causing Brexit after he allowed the UK to vote on whether it wished to stay a member of the EU.
Chris Evans Virgin Radio Breakfast Show airs weekdays at 6.30am.