Abstract: A collapsible bag for dispensing liquids which includes at least one sheet sealed to define an enclosure and a fitment (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 an integral texture to assist with 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 or which have sealed pleats or accordion folds. The bottom surface of a lower flange of the fitment may have concentric ridges (or spirals) and/or radial grooves. Also disclosed are methods of making the bag from one, two, three or four sheets.