A wrapping material for wrapping an item about its circumference having a plurality of wrapping portions forming a continuous roll. Each wrapping portion has a length that is greater than the circumference of an item to be wrapped with a width that is transverse to its length. Each of the wrapping portions include at least one fastener secured in an area there such that the continuous roll includes a plurality of serially disposed fasteners that are spaced from one another along the continuous roll. Each fastener includes a plurality of engaging elements for engaging a plurality of fiber elements of an underlying or overlying segment of a respective wrapping portion during a wrapping cycle. With this arrangement, the tail end of a respective wrapping portion will be secured by the plurality of engaging elements to the underlying or overlying segment at the end of a wrapping cycle.
