And the projections, he added, suggests that the crisis facing New York could grow even worse.

“I don’t think there’s any way to look at those numbers,” Mr. Cuomo said, “without seeing thousands of people pass away.”

The total number of deaths in the state stood at 965 on Sunday morning, before New York City reported its most recent count.

The number of confirmed cases jumped by 7,200 in one day, putting the total of confirmed cases at 59,513 cases as of Sunday. More than half of the cases, or 33,768, are in New York City, according to the latest figures from the city and state.

About 8,500 people are currently hospitalized, an increase of 16 percent from Saturday to Sunday. Of those, 2,037 are in intensive care units, which are equipped with ventilators.