OSWEGO â The Oswego County Health Department will hold another COVID-19 vaccination clinic this week. It is scheduled for Wednesday, Aug. 4 at the Nick Sterio Public Health Clinic, 70 Bunner St., Oswego. From 1 to 5:30 p.m., health staff will administer the Pfizer vaccine to those aged 12 and above. It is a two-dose series, so those who get this vaccine should plan to return on Wednesday, Aug. 25, for their second shot. From 4 to 5:30 p.m., health staff will also administer the Moderna vaccine. It is only approved for those aged 18 and above and is also a two-dose series. Those who get this vaccine should plan to return on Wednesday, Sept. 1 for their second shot.