New York City’s official death toll from the coronavirus has risen to more than 10,000 with the addition of 3,700 people who never tested positive for the virus but were presumed to have died from it based on symptoms and medical history.

The city has been recording these additional deaths for weeks, The New York Times reported Tuesday, citing two people briefed on the matter. The majority of the deaths occurred in hospitals, with a smaller portion in nursing homes or other long-term care facilities.

New York City Mayor Bill de Blasio Bill de BlasioNew York to honor Ginsburg with statue in Brooklyn The Hill's Morning Report - Sponsored by The Air Line Pilots Association - White House moves closer to Pelosi on virus relief bill New York again pushes back in-person classes MORE (D) made the decision over the weekend to announce the inclusion of the presumptive cases, the Times reported.

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“In the heat of battle, our primary focus has been on saving lives,” Freddi Goldstein, de Blasio’s press secretary, told the Times. “As soon as the issue was raised, the mayor immediately moved to release the data.”

Policies on reporting presumptive cases vary from jurisdiction to jurisdiction. New York City Health Commissioner Oxiris Barbot told the Times that Connecticut, Ohio, Delaware and Maryland have also begun reporting probable cases this week, while California and Seattle officials said deaths were counted as coronavirus-related only if testing confirmed the disease.

The New York cases cover the period between March 11 and April 13, which includes when de Blasio and Gov. Andrew Cuomo Andrew CuomoNYT editorial board remembers Ginsburg: She 'will forever have two legacies' New York to honor Ginsburg with statue in Brooklyn New York City bus driver knocked out by passenger he told to wear a mask MORE (D) locked down most of the city and state.

While the city has been reporting additional presumed cases to the National Center for Health Statistics for more than a week, Barbot said it would continue reporting exclusively confirmed cases to the Centers for Disease Control and Prevention, as that is what was requested.

City and state officials have previously offered conflicting death counts, with the state putting the total at 7,349 as of Monday and the state’s Health Department acknowledging the disparities, which it blamed on the use of different data systems between the city and the state, the Times reported.