Santa Clara County officials announced late Sunday that the local supply of the Covid vaccine has increased and that, as a result, thousands of appointments have been added this week, including 10,000 more just for this weekend.

All people age 16 and older who live or work in the county are eligible and are encouraged to sign up for a vaccination appointment at sccfreevax.org, said Dr. Jennifer Tong, associate chief medical officer for Santa Clara Valley Medical Center.

“This includes our community members who have already had Covid-19 and have recovered,” she said. “The vaccines are our most critical and effective tools to protect you and your loved ones, especially with variants of the virus circulating in our community.”

County officials said more than 57% of people age 16 and older living in Santa Clara County have received a first dose and more than 31% have been completely vaccinated.