Dodger Stadium becomes one of largest COVID-19 vaccination sites in US KABC Share: LOS ANGELES (KABC) -- Dodger Stadium is now operating as one of the nation's largest covid-19 vaccination sites. Currently, only healthcare workers and residents and staff at skilled nursing facilities are eligible to receive the shots, but some worry about a vaccine shortage. Actor Sean Penn's nonprofit Core Response is working with the city. The group's co-founder said Dodger Stadium is running out of doses. "On site, we will have enough supply to provide at least until Wednesday," said Ann Lee, co-founder and chief executive officer of Core Response.