Anyone who enters one of the centers will be required to follow mask guidance that is specific to the county where the center is located, according to the governor.
As of Sunday, 1,768,443 Kentuckians had received at least the first dose of a coronavirus vaccine.
The virus has been a contributing factor in the deaths of at least 6,338 Kentuckians.
As of Monday, nearly 69% of the state's inmate population has been inoculated, according to data shared during Gov. Andy Beshear's briefing on the pandemic.
Of the new cases, 300 were from Monday and Tuesday but could not be confirmed until Wednesday "due to a technical issue on the reporting platform," Gov. Andy Beshear's office said
According to the state's vaccination dashboard, 1,319,323 Kentuckians have received at least the first dose of a vaccine to date.
Health officials on Saturday reported 637 new COVID-19 cases and 15 more deaths in which the virus was a contributing factor, according to Kentucky Public Health.
The rate is an indicator of the extent of the spread of the virus, the World Health Organization says.
"I don't remember the last time that the number of new positive cases for residents was so low," Gov. Andy Beshear said.
The state’s death toll from the virus reached at least 5,056.