Health officials in Boston say the risk to the public from the deadly coronavirus remains low locally, but they are still bracing for a potential uptick in cases. As of Tuesday, the disease had claimed 9 lives in Washington state this week and infected more than 100 Americans, including two in Massachusetts.

One of the infected people in the state has a Dorchester connection— he’s a UMass Boston student who became ill after from returning from Wuhan, China in late January. The Department of Public Health confirmed the case on Feb. 1 and the student has been isolated at his home since then.

“We are happy to report that the UMass Boston student is doing well and continues to recover. He is self-isolating at his off-campus home,” Boston Public Health Commission spokeswoman Caitlin McLaughlin said two weeks ago.

A second case—a woman in in her 20s who lives in Norfolk County and recently traveled to Italy with a school group — was made public by state officials on Monday. She is recovering at home, they said.

In statement to the Reporter on Tuesday, Mayor Martin Walsh said the city is “taking every precaution to keep people in Boston healthy and safe. The Boston Public Health Commission is advising key partners, including Massport and universities … and continually assessing potential threats to ensure that we are ready in case the virus does spread.”

On Monday, Governor Charlie Baker joined State Health and Human Services Secretary Marylou Sudders and Public Health Commissioner Dr. Monica Bharel to give an update on the state’s response to the respiratory illness that has become known as COVID-19.

Baker described a “constant back and forth” with the US Centers for Disease Control and Prevention and other federal agencies as they continue preparations for, and the response to, the ongoing global outbreak of a new and deadly virus.

“The big thing about all of this is the facts are going to change, and as the facts change, people need to change with them,” Baker told reporters.

Earlier in the day, the governor participated in a White House conference call for governors, and Bharel was on the phone with the CDC. The governors, Baker said, were briefed on travel restrictions and the federal government’s steps to stockpile necessary supplies.

“Federal guidelines around how to handle both returning folks and whether or not people should leave, which is the other thing we’re waiting for guidance on, I think is going to be a really important message, especially for the big, scheduled organized groups,” Baker said.

Officials in Bellingham and Newton have asked students and staff who recently returned from Italy, where the CDC says there is a “widespread, ongoing outbreak of respiratory illness,” to stay home.

On Monday, Sudders said, 608 people have engaged in self-quarantine procedures, including 377 who have completed the quarantine without symptoms. The remaining 231 are still within an initial 14-day home quarantine period.

In those cases, Sudders said, the local boards of health “felt it was the prudent, cautious thing to do… Self-quarantine at home and in concert with the Department of Public Health.”

She said the US State Department has recommended that organized school trips scheduled for this spring to international locations not be undertaken.

“We think that is very important guidance for people to consider,” Sudders said.

On Friday, the state public health laboratory received a green light from federal officials to perform diagnostic testing for the virus. “This is good news for Massachusetts, as testing at the state public health lab enables us to speed up obtaining the test results and expediates ongoing testing of any confirmed cases that are recovered,” Bharel said.

He noted that said the department is providing hospitals and health systems with clinical and infection control guidance, and monitoring supply chains for personal protective equipment like gloves and face masks.

Worries about the inventory of equipment— like surgical masks, respirators, and gowns— is the foremost concern of leaders at the Mass League of Community Health Centers, which is helping the state’s 52 centers by providing the latest information on the unfolding crisis. The world-wide nature of the virus is worrisome — it has spread from its epicenter in China, which produces many essential medical supplies used here in the United States.

“Right now, what we are watching most urgently is the supply chain, “said Susan Dargon-Hart, vice president of Clinical Health Affairs for the Mass League. “Most health centers have about two weeks’ worth of supplies on hand. We’re really watching our dental clinics in particular and trying to encourage health centers to do their own inventories and be prepared for what could happen if there are higher numbers of cases.”

State House News Service contributed to this report.