The Daily Telegraph said Treasury officials were working on plans to compensate low-earning workers without children.
The change means that people who would have paid income tax at the lowest, introductory 10% rate will now have to pay the 20% rate.
Under a range of changes which came fully into force in the new tax year, child benefits, state pensions and tax credits have all gone up.
On BBC Radio 4's Any Questions, Treasury Secretary Angela Eagle said people should "watch this space" when she was asked if the government was planning measures compensate for the tax changes.
But a Treasury spokesman later told the BBC there was no thought of "an imminent change to the policy".
He said the chancellor was aware of people's concerns and in future "would take them into account".
Mr Brown is understood to believe the row has been exaggerated by the media and has urged Labour MPs to look at the government's overall tax changes, which he says have helped low-paid families.
On Thursday Mr Brown took time out of his official US visit to telephone ministerial aide Angela Smith and persuade her not to quit over the issue.
'Fog of confusion'
One of five other ministerial aides who protested - MP David Anderson - told the Evening Standard on Friday that Labour should not be "making poor people poorer" while at the same time cutting inheritance tax for the better off.
John McFall, chairman of the Commons Treasury select committee, said the government needed to do more to explain the ramifications to backbench MPs.
"The fog of confusion has descended and it now needs clearing," he said.
Philip Hammond, the shadow chief secretary to the Treasury, said there was "very real anger" in the country about the issue.
Liberal Democrat leader Nick Clegg told the BBC Mr Brown had abolished the 10p rate to get good publicity.
Mr Clegg said: "He did it in order to secure favourable headlines in the following day's newspapers, for cutting the basic rate from 22p in the pound to 20p in the pound.
"In other words, he sacrificed the interests of the poorest.
"That in my view is a scandalously unprincipled way of behaving."
Chairman of the Treasury Select Committee, John McFall on the 10p Tax
Jeff Ennis, PPS to Cabinet Office minister Ed Miliband, said "everybody has concerns" about the move.
Celia Barlow, an aide to Science Minister Ian Pearson, has also written to Mr Brown over the issue.
Yvette Cooper, the chief secretary to the Treasury, insisted that the reforms were fair.
She told the BBC: "The majority of people will benefit, including those on the lowest incomes."
Schools Secretary Ed Balls has called for an end to the public row.
MPs will get a chance to vote on the 10p tax issue the week after next, when ex-minister Frank Field plans to table an amendment to the Finance Bill calling for compensation for those affected.
The row has been seized by the opposition as a sign Mr Brown is losing control of his own party.
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