NEW YORK- There are 1,092 presumed cases of monkeypox in the city as of Tuesday, and there are "likely many more" that have not been diagnosed, according to the city Health Department.

The new case numbers come a day after Hochul announced that the department has approved Quest Diagnostics' application for testing to identify monkeypox in the state.

Hochul says the new testing will use PCR technology to test samples from individuals with "vesicular rashes or pustules," using a swab specimen collected by health care providers.

She says the PCR test will help expand the state's testing capacity by giving health professionals another lab option for processing samples and detecting the virus.

"Today's [Monday] announcement builds on our ongoing monkeypox response efforts to expand testing capacity, secure more vaccines and make resources as widely available as possible. We will continue to do everything in our power to protect New Yorkers, including our most vulnerable communities," Hochul said in a release.

The city received nearly 26,000 monkeypox vaccine doses from the federal government last week, and opened up to 17,000 monkeypox vaccine slots on Friday.

Three mass vaccination sites - one at Science Skills Center High School in Brooklyn, one at I.S. 125 in Queens and one at the Bronx High School of Science - started administering 10,600 of the 17,000 doses last Sunday and will continue on July 30 and July 31, the Health Department said.

Vaccines have also been administered at the city's sexual health clinics in Chelsea, East Harlem and Corona, at NYC Health + Hospitals/Gotham Health -  Vanderbilt on Staten Island, and at Lincoln Hospital in the Bronx, according to the department.

The expansion of testing and vaccination sites has been critiqued by some New Yorkers, elected officials and advocates as a slow rollout.

The World Health Organization declared the monkeypox outbreak a "public health emergency of international concern" on Saturday.

Health officials said most U.S. cases are currently among men who have sex with men, who they say are the individuals at the highest risk, but added that that anyone is at risk if they come into contact with a person with a positive monkeypox case.