The county's health department says this is their fourth case.
RELATED: 'The virus is here': New COVID-19 case with unknown source in Santa Clara County
The patient is an adult woman who is a household contact of the third Santa Clara County case, and is "not hospitalized or ill," officials said.
Here is part of the statement from the County of Santa Clara Public Health Department:
"We expected more cases of COVID-19 in our county and have been preparing for community transmission. Since the disease is here, an important priority for the department will be to conduct community surveillance to determine the extent of local spread. The County Public Health Laboratory has the ability to test for the virus and can identify cases quickly and take appropriate action. The County of Santa Clara Public Health Department is also working closely with the U.S. Centers for Disease Control and Prevention (CDC), the State of California Department of Public Health, and other partners to protect and inform the public."
California Governor Gavin Newsom says the state only has about 200 testing kits left. The CDC is pledging to get more tests to California soon.
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