There are two new confirmed cases of coronavirus in King County, public health officials announced Sunday. These cases bring the county total to six.

The new cases include a man in his 60s, who was hospitalized at Valley Medical Center in Renton. The man is in critical but stable condition and has underlying health conditions. The other case is another man in his 60s, who is being hospitalized at the Virginia Mason Medical Center in Seattle. He has underlying health issues and is in critical condition. Related: 'Tip of the iceberg.' Health officials predict more coronavirus in Washington state as testing accelerates

It has not been confirmed yet if either of these men are linked to the Life Care Center in Kirkland, where other cases have been tied, local health officials said. And no word on how they contracted the COVID-19 virus.

On Feb. 29, Public Health Seattle & King County announced the first coronavirus death in the country -- a man in his 50s who was being treated at EvergreenHealth in Kirkland. And they announced that two others, linked to the Life Care Center, tested positive for the novel virus. Another 50 people from the nursing facility are being tested for the virus. Their results are pending. Recently, the U.S. Postal Service reported one of its Federal Way employees contracted coronavirus. Health officials said this person was one of the cases previously reported by King County. Ernie Swanson, USPS official, said the woman, in her 50s, visited Korea about a week ago. She was experiencing symptoms on Thursday and has been at home since then. Once her test returned positive, Swanson said a professional cleaning organization came in to sanitize the facility. He said no other employees are currently showing symptoms at this point.