A sheath includes a plurality of layers coupled to one another and configured to cover a medical or dental instrument. The sheath may include an instrument cover segment and a cable cover segment attached to each other. When in a pre-use configuration, such as when packaged, the cable cover segment may define an inside-out position and overlie at least a portion of the instrument cover segment. When in an in-use configuration, such as when the sheath is installed over a medical or dental instrument, the cable cover segment may define an outside-out position and extend longitudinally with respect to the instrument cover segment.