This list of coronavirus vaccine sites in Seattle neighborhoods and cities around King County will be updated periodically. For the latest information about where appointments are available close to you, use the Washington State Department of Healthâs vaccine finder tool. Remember: Only those who are currently eligible for vaccines should book appointments. And providers may need to change or cancel appointments based on the number of vaccine doses they receive in a given week. Seattle Safeway, 2622 California Ave SW Appointments required; schedule here. If no dates are listed, all appointments have been filled. Check back later; donât call the pharmacy to ask about future openings.