It came as Downing Street said just 2,000 frontline NHS England staff have been tested for coronavirus.
Cabinet minister Michael Gove said a shortage of chemicals needed for the tests meant the NHS - which employs 1.2m in England - could not screen its staff for the virus.
The government has faced criticism about the lack of testing available for NHS staff.More news: Coronavirus lockdown convinces De Bruyne to extend his career
Some 25,150 people have now tested positive for the virus in Britain, including Prime Minister Boris Johnson, a daily increase of 3,009.
"The situation is going to get worse before it gets better - but it will get better", he added. Two weeks on and the United Kingdom is averaging 7,500 tests per day.
This is despite earlier claims by Mr Hancock that the target had been reached.More news: Manchester United consider potential Matthijs de Ligt signing
Mr Hunt told The Guardian: 'The big advantage we now have is evidence that testing works in other countries.
According to new figures by the Office for National Statistics (ONS) the true death toll across the United Kingdom is far higher than what NHS hospitals are reporting.
Sir Patrick Vallance, England's chief scientific adviser said the NHS are seeing around an additional 1,000 patients each day and described this daily rise as "stable".More news: Idris Elba and wife 'stuck in limbo' after completing coronavirus quarantine
Sir Simon said on Monday, that on Friday, there was more than 6,200 patients in hospital with coronavirus, but on Monday this figure had jumped to more than 9,000. TV presenter Piers Morgan - who has been highly critical of those not adhering to the government's strict social distancing measures - branded the UK's death rate as "horrifying".