Graham Brady, Conservative Party MP and chair of the Conservative Private Members' Committee speaks during a statement to the media on July 11, 2016 in London, England | Carl Court/Getty Images Theresa May has support of MPs ‘at the moment,’ says backbench chief ‘If my colleagues are happy, then I am,’ leader of 1922 committee of backbench Conservative MPs says.

Prime Minister Theresa May has the support of her backbench colleagues "at the moment," said Graham Brady, chair of the 1922 committee of backbench Conservative MPs.

In lukewarm backing for his leader following her statement last week that she intends to fight to the next election Brady told the BBC's Daily Politics that a prime minister's authority is "always subject to the support of colleagues."

May's closest cabinet ally Damian Green told POLITICO in an interview Monday that May will lead the Tories into the next general election, most likely to take place in 2022.

But Brady's support was less than full-throated. Asked if he was happy for May to continue to lead the party, he said: “Absolutely, if my colleagues are then I am.”

“We know that she’s got a very big job to deliver, there’s a complicated set of things to make progress on, not just Brexit but some of those big domestic challenges which are really important. We want her to make progress," added the influential backbench leader.

But Brady conceded that the party's election campaign had been disastrous. “Almost everything went wrong in the campaign in my view,” he said,” including perhaps most significantly the fact it was all focused as a presidential-style campaign. That just didn’t work for the style of Theresa May.”