Learn about the difference between a MinuteClinic & urgent care. Our urgent care in Knoxville accepts walk-ins & provides high-quality care. Whether you’re running errands at Three Rivers Market or trying to get the kids to school on time after a rough night with a fever, getting sick never seems to happen at a “convenient” moment. When it does, you’ve probably found yourself thinking: Should I stop by the MinuteClinic at CVS on East Emory ...