Donald Trump insists he doesn't need coronavirus test

US President Donald Trump says he has not been tested for the coronavirus, has no symptoms of the disease and has been examined by the White House physician.

"I don't think it's a big deal. I would do it. I don't feel that any reason ... I feel extremely good. I feel very good," Trump told reporters in Washington following a meeting with Senate Republicans on the coronavirus response.

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White House spokeswoman Stephanie Grisham said in a statement Trump had not been tested because he had no symptoms and had not had "prolonged close contact" with any confirmed coronavirus patients.

Among people travelling with Trump on Air Force One was Republican Representative Matt Gaetz, who announced hours later he would self-quarantine because he had come in contact at a political conference with an attendee who later tested positive for the coronavirus.

Republican Representative Mark Meadows, Trump's incoming chief of staff who also attended the conference, will self-quarantine until Wednesday, a spokesman said on Monday.

A total of 761 confirmed cases of the coronavirus that can lead to pneumonia and other complications were confirmed in the US as of Tuesday morning, according to a tally by Johns Hopkins University.

There have been at least 28 US coronavirus-related deaths.

- With AAP