Cook County health officials had vaccinated 300 jail detainees by Friday with hundreds more in line for shots, as county officials look to crush the coronavirus inside a facility widely blamed for helping spread the virus across the county.

With the first round of doses getting to detainees last Monday, more than 5 percent of the jail’s population had received Moderna shots by Friday, according to a spokesperson for the Cook County Health system, which is overseeing the immunization effort at the jail.