Hospitals in the areas of Santa Clara County hardest hit by the coronavirus are filling fast and nearing capacity, forcing a daily scramble of phone calls among administrators to ensure there are beds available, officials said Wednesday.

Intensive care units in the hospitals serving East San Jose and the county’s southern regions that include Morgan Hill and Gilroy are 93% full, and none had more than five beds available as of Tuesday, said Dr. Jennifer Tong, associate chief medical officer for Santa Clara Valley Medical Center.

“These numbers are greatly concerning,” Tong said. “What this means is that the hospitals in our hardest-hit communities have the fewest beds available for those in need. Our hospitals throughout the county are working together, engaging in phone calls, at least daily, to redistribute patients as needed, to ensure that we are continuing to provide safe and high quality care to all of those who seek it.”

Those affected hospitals include Regional Medical Center, Kaiser-Santa Clara and the three county-run hospitals: Santa Clara Valley Medical Center, O’Connor Hospital and St. Louise Regional Medical Center, Tong said.

The grim news comes after a weekend in which Santa Clara County announced new restrictions to help slow the spread of the virus, including reduced retail store capacity, a ban on contact professional and youth sports and a 14-day quarantine requirement for travelers from more than 150 miles away.

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“The reason for putting in place a quarantine requirement for people returning from out of the area is to try to avoid some of that growth of cases and try to contain that spiraling growth of cases,” said James R. Williams, the county counsel.

County officials could not say Wednesday whether they have issued any citations for violations of the new quarantine requirement, which went into effect Monday, but urged travelers to follow the rule and to report violations through the county’s website.

“Most laws in our society rely on us doing the right thing,” Williams said. “But there is enforcement.”

Tong said some hospitals — public and private — have suspended elective surgeries due to the crush of coronavirus cases.

“At this point in time, each individual hospital makes those decisions,” Tong said.

The grim hospital figures came amid hopeful news as the county submitted its required plan for administering vaccines when they become available. Tong said the plan would be publicly posted soon on the county’s website and will address the logistics of vaccine distribution.

“The plan describes at a high level how we will engage the community,” Tong said. “Our top priority is the safety and health of people who live and work here in Santa Clara County. A tool in helping us reach that top priority is a safe and effective vaccine that has been rigorously evaluated for safety and efficacy by the federal government and by the state of California. We are hopeful in this goal based on what we have seen so far.”

But Tong added that it will take time to distribute vaccine and that people need to continue to follow safety protocols for social distancing, wearing masks and avoiding gatherings outside their households.

“We all must continue to do our part to stay safe while we wait,” Tong said. “Many countries and states and counties want access to vaccines and like everyone else we will receive a limited supply at first. More will be coming over time. It might take many months though before everyone who is interested in getting a vaccine is able to to get one.”