Boris Johnson viewed plans for a testing and tracing system as “like whistling in the dark” last April, according to messages released by his former adviser Dominic Cummings.
Mr Cummings also said he warned Mr Johnson last year that Matt Hancock was “unfit for this job” in his latest attack on the under-pressure Health Secretary.
It comes as Mr Hancock faced calls to resign, after he admitted breaching the Government’s rules on social distancing when images emerged of him kissing a close aide in his Whitehall office.
Mr Cummings used his latest newsletter to step up his sustained criticism of the way the Government has operated during the coronavirus crisis.
He said in the newsletter he wanted to highlight “what an incredible mess testing was and why care homes were neglected” at the start of the pandemic.
“Many were screaming at me that Hancock was failing to act on care homes and spinning nonsense to the Cabinet table while thousands were dying in care homes,” he wrote.
Mr Cummings included a note he had written for the Prime Minister on April 26 last year, in which he called for a “detailed plan” on the test and trace system and how this would involve an app.
At the time, the Government was under pressure to hit the target of carrying out 100,00 tests a day, which was being suggested as the amount needed for an effective system.
Mr Cummings said he sent the note to the Prime Minister with a message which said: “All this should have been done weeks ago and should not need me to do it. We can’t go on like this.”
He said that Mr Johnson responded: “Thanks totally agree.
“The whole track and trace thing feels like whistling in the dark.
“Legions of imaginary clouseaus and no plan to hire them.
“Apps that don’t yet work.
“And above all no idea how to get new cases down to a manageable level or how long it will take.
“By which time UK may have secured double distinction of being the European country w the most fatalities and the biggest economic hit (sic).”
Mr Cummings, who left his Downing Street post last year amid a power struggle in Number 10, said that he had repeatedly raised concerns about the Health Secretary with the Prime Minister.
He wrote: “On 7 May I told the PM that Hancock was ‘unfit for this job’ and him staying in place was ‘killing god knows how many’.
“The PM agreed that Hancock’s failures were a catastrophe but refused to fire him.”
His latest comments come as Labour said the Health Secretary’s position had become “hopelessly untenable” and called for him to be sacked if he was not prepared to quit voluntarily.
Mr Hancock said he was “very sorry” for letting people down after The Sun published a CCTV image of him kissing Gina Coladangelo in his office at the Department of Health and Social Care (DHSC).
The newspaper reported that the Health Secretary was having an extramarital affair with Ms Coladangelo, whom he knew from their days together at Oxford University and whom he appointed to the department last year.
The latest criticism from Mr Cummings came after he called his former ally, Mr Johnson, a “gaffe machine” and released text messages from the early stages of the pandemic in which the Prime Minister was highly critical of Mr Hancock.
Mr Cummings published one screenshot from WhatsApp in which the Prime Minister described the Health Secretary as “totally f****** hopeless” in an exchange about coronavirus testing.
In another message about struggles to procure ventilators, Mr Johnson responded: “It’s Hancock. He has been hopeless.”
Appearing on BBC Breakfast on Monday, Mr Hancock acknowledged that people say “all sorts of things in private” when they are under pressure, but insisted that he and Mr Johnson work “very strongly together”.