A web of packaging material made of heat sealable plastic sheeting has two parallel rows of cover portions sealed to the outer surface of the sheeting and arranged eccentrically to the longitudinal center of the web. The cover portions are made of a material which is stiffer than the plastic sheeting and which can be welded to it, preferably plastic coated cardboard or paper. Each cover portion is of approximately equal size and shape and are equally spaced longitudinally along the web. At least one row of cover portions is preferably sealed to the plastic sheeting by an inner cover strip at a surface eccentric to the geometric center of the cover portion and includes a ring pull to facilitate the opening of a subsequently formed package. In an alternate embodiment, only one row of cover portions is sealed to the outer surface of the web along the longitudinal center.
