As Tories head to Birmingham for their annual conference, Welsh Secretary Sir Robert Buckland said they were "absolutely committed" to funding their commitments amid signs ministers will put a major squeeze on public spending.
Prime Minister Liz Truss acknowledged Mr Kwarteng's "fiscal event" had resulted in "disruption" - with the pound slumping to a record low against the dollar and the Bank of England forced to intervene to prevent a collapse of the pensions industry.
But writing in The Sun, Ms Truss insisted the government was right to act to get the economy growing and would keep "an iron grip on the national finances as part of our commitment to sound money".
In an article for The Daily Telegraph, Mr Kwarteng said he would set out a "credible plan" to get public finances back on track with a "commitment to spending discipline".
Sir Robert said the position would become clearer when the chancellor unveils his medium-term fiscal plan in November.
In an interview with BBC's Radio 4 Today, he said it would give "a high degree of reassurance to markets that, like its predecessors, this government is absolutely committed to fiscal responsibility".
"The government will continue to work with the bank ... to make sure that in weeks ahead everybody can see clearly we are as committed to that sense of balance, the need to fund all our commitments in the way conservative governments traditionally have been," Sir Robert said.
His comments came after Ms Truss again refused to commit to the annual uprating of benefits in line with inflation - something Rishi Sunak promised to do when he was chancellor.
Pressed during an interview on Friday, Ms Truss said only that it was "something the Work and Pensions Secretary (Chloe Smith) is looking at" as the rising cost of living squeezes Whitehall departmental budgets.
Levelling Up Secretary Simon Clarke signalled ministers were looking to shrink the overall size of the state alongside falling tax rates.
"My big concern in politics is that Western Europe is just living in a fool's paradise whereby we can be ever less productive relative to our peers and yet still enjoy a very large welfare state and persist in thinking that the two are somehow compatible over the medium to long term," he told The Times.
"I think it is important that we look at a state which is extremely large, and look at how we can make sure that it is in full alignment with a lower tax economy."
His warning came amid fears millions of mortgage holders could face crippling rises in their repayments as the Bank moves to ratchet up interest rates to shore up the pound and put a lid on inflation.
The turmoil erupted after markets took fright at Mr Kwarteng's Stg45 billion ($A77.52 billion) package of unfunded tax cuts - the biggest in 50 years - while committing billions to cap energy bills for the next two years.
With the Tories tanking in the opinion polls - one showed Labour opening up a 33-point lead - some Conservative MPs are pressing for a change of course amid fears the party's electoral prospects may be irreparably damaged.
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