Mesquite August 3, 2020 7:41 am Dallas County Opens New COVID-19 Testing Site in Mesquite Dallas County is shifting its COVID-19 testing locations. A new location at Eastfield College in Mesquite opened Aug. 3 and will administer up to 500 tests each day. Wake Up to Something Good 1:31 CDC recommends updated Covid shot for everyone ages 6 months and up