Carolyn Kaster North Caroline Gov. Roy Cooper speaks at Guilford Technical Community College, Monday, April 19, 2021, in Jamestown, N.C., about the Biden administrationâs American Jobs Plan. If more North Carolinians get vaccinated, the state could end most pandemic restrictions by June 1, Gov. Roy Cooper said Wednesday, though the mask will likely remain. In order for that to happen, though, at least 67% of the stateâs adults would have to have at least a first-dose of a COVID-19 vaccine. Right now, that number stands at 47%. Cooper said his conversations with state health officials have solidified his belief that âweâll have enough protection across our communities to be able to live more safely with this virus.â