A collapsible bag (100) for dispensing liquids which includes at least one sheet (104, 108) sealed to define an enclosure and a fitment (124) (spout) attached to the enclosure and out through which liquid in the enclosure is dispensed. An interior surface of the one or more sheets has integral texture to assist in withdrawal of the liquid from the enclosure when collapsed. The texture can be provided by sheet surfaces that are mechanically or ultrasonically embossed or are bubble-cushioned (204) or which have sealed pleats (224) or accordion folds. The bottom surface (246) of a lower flange (244) of the fitment may have concentric ridges (298) (or spirals) (256) and/or radial grooves (278). Also disclosed are methods of making the bag from one, two, three or four sheets.
