Hospital expects COVID-19 vaccine this week Vaccine will go to healthcare workers first. A person getting a flu shot in 2018. The Hospital is expected to give its first doses of the COVID-19 vaccine to employees this week. — 31st Fighter Wing Public Affairs The first round of COVID-19 vaccinations are expected to arrive at Martha’s Vineyard Hospital this week for frontline healthcare workers. In an email to The Times, hospital communications specialist Marissa Lefebvre confirmed the vaccines are expected to arrive Wednesday through Thursday. Lefebvre confirmed the first employee will receive a vaccine on Thursday. Sources have told The Times that employees will also be getting shots on Friday.