The governor of New York Andrew Cuomo said on Saturday the state's death toll appeared to be stabilising.
Announcing a 24-hour figure of 783 new deaths, he noted the last several days had seen around the same number.
"That is not an all-time high, and you can see that the number is somewhat stabilising but it is stabilising at a horrific rate," Mr Cuomo said. "These are just incredible numbers depicting incredible loss and pain."
New York state has become the epicentre of the outbreak in the US, recording more than 180,000 of the country's nearly 530,000 cases.
As of Saturday, every single US state has declared a disaster in response to the outbreak.
More than 100,000 have now died with the virus around the world since the pandemic broke out in China in December.
There are now at least 529,951 recorded cases of Covid-19 across the US.
Dr Anthony Fauci, US infectious diseases chief, has said the country is "starting to see the levelling off and coming down" of cases and deaths but says mitigation efforts such as social distancing should not be pulled back yet.
Federal social distancing recommendations, issued by President Donald Trump, are currently in place until 30 April.
The president is facing twin pressures from the outbreak: with at least 16 million jobs lost in recent weeks as virus restrictions cripple the country's economy.
He said on Friday that a new council, made up of business and medical figures, would be announced next week to help him with the "biggest decision I've ever had to make" on when to relax measures.
It comes as Congress continues to spar over the next stage of Covid-19 financial relief.
Democrats want a new proposed $250bn (£200bn) bill to help small businesses to also allow for additional funding for hospitals and local governments.
But on Saturday the two top Republicans in Congress, Senate Majority Leader Mitch McConnell and House Minority Leader Kevin McCarthy, rejected the demand.
In a statement they described the move as a "reckless threat" which blocked "job-saving funding".