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Labour had hoped some campaigning Tory backbenchers would support its motion and rebel against the Government.
But Robert Halfon MP, who has led the campaign against increasing fuel duty, said he would not vote against the Government until he had seen whether George Osborne responds to mounting concerns in the Autumn Statement, due on December 5.
He said: "The cost of fuel is the number one issue, that's why I am campaigning on it.
"I have had discussions with various people and it is my view that the Government is in strong listening mode.
"If I didn't believe that I would make a point and go in to the lobby with Labour."
There was growing pressure today on Chancellor George Osborne to abandon the Government's controversial 3p-a-litre increase in fuel duty planned for January.
Labour are calling on the Government in a Commons vote this afternoon to delay the tax hike until at least next April, claiming families and businesses are in desperate need of some good news from the Exchequer.
Shadow Chancellor Ed Balls has argued that postponing the planned January increase could be paid for by clamping down on tax avoidance schemes used by employment agencies.
In a blog for PoliticsHome, Mr Balls wrote:
Labour will force a Commons vote today to call for a planned 3p hike in fuel duty to be postponed for a second time.
Ed Balls said "it cannot be right" to hit struggling families and businesses with another tax rise, and urged MPs from all sides to back demands for the Government to cancel the increase due in January.
He said: "At a time when the cost of living is rising, our recovery is fragile and this out-of-touch Government is giving 8,000 millionaires a tax cut, it cannot be right to hit middle and low income families and small businesses with another tax increase.
"That is why Labour is calling on the Chancellor to cancel January's planned 3p rise in fuel duty - at least until next April.
George Osborne could bow to demands to defer a planned 3p hike in fuel duty, reports the Daily Mail.
The rise is due to come in at the start of the year, but Conservative backbenchers now say the Chancellor is set to delay it further, heading off a threatened mutiny.
Labour is putting forward a Commons motion today, calling for a three-month freeze in the levy, which is already the highest in Europe.
Latest ITV News reports
Will there be a fuel duty rise in January? Labour's debate will call for the proposed increase of three pence a litre to be scrapped.