In an earlier interview with Sky News, Reeves said austerity policies and former Prime Minister Liz Truss's mini-budget had damaged the UK economy.
She also sought to blame Brexit, adding that the economic effects of the UK's exit from the EU had been "severe and long-lasting".
She cited the government's attempts to strike food regulation and youth visa deals with the EU as moves that were "undoing some of that damage".
Reeves and her Treasury ministers have so far been tight-lipped on which taxes could potentially go up.
The chancellor has not ruled out continuing to freeze income tax thresholds beyond the 2028 date fixed by the last government, allowing more people to be dragged into higher bands as their wages rise over time.
Reports have also suggested she is looking at property taxes, including making more landlords pay National Insurance on rental income.
There has also been speculation that betting companies could face higher taxes, with the chancellor recently saying she thought "there is a case for gambling firms paying more".
In her speech to Labour conference last month, Reeves pledged to keep "taxes, inflation and interest rates as low as possible" - but has reduced her options by promising at the last election not to hike the biggest revenue-raising taxes.
Labour promised in its 2024 manifesto not to raise income tax rates, VAT, a sales tax, and corporation tax, which is paid by companies on their profits.
The party also promised not to raise National Insurance - prompting a row last autumn when it announced the rise in the contributions paid by employers.