The U.S. Labor Department Is Reporting Nearly 55,000 New Unemployment Claims Filed In Tennessee And Virginia In The Past Week. 22,784 New Claims Were Filed In Tennessee, While, 32,202 Were Filed In Virginia The Week Ending On May 30th. Tennessee Has Seen Fewer New Unemployment Claims Filed. In Northeast Tennessee, There Were 32-Hundred Fewer New Claims Last Week, Compared To A Week Earlier.