Transportation Emergency Relief Funds Availability Act This bill revises the treatment of deadlines for federal-aid highways and public transportation projects emergency relief funds awarded by the Department of Transportation (DOT). The bill repeals the current two-year deadline for emergency relief projects to advance to the construction obligation stage. DOT must allow up to six years for projects funded through an emergency relief program to advance to construction. The new six-year deadline starts following the date on which a disaster was declared by a state's governor or the President.