More patients, more problems: Ohio's COVID-19 vaccine supply can't keep pace with demand Hundreds of thousands of Ohioans will become newly eligible for the vaccine every week until at least Feb. 15, according to the schedule established by Gov. Mike DeWine and the Ohio Department of Health. But the federal government only sends the state about 100,000 doses of the vaccine each week. and last updated 2021-02-08 19:27:07-05 Clermont County received 1,900 doses of COVID-19 vaccine last week, when people over the age of 80 became eligible to receive it for the first time. By Monday, when the eligibility pool expanded to include all Ohioans over 75, over 14,000 Clermont County residents had placed themselves on a waitlist for the shot.