In at least one embodiment, the invention preferably relates to a hollow fiber membrane mat having hollow fiber membranes arranged parallel to one another and adjacent to one another, the membranes having a wall and a continuous lumen, wherein the hollow fiber membranes are connected to one another by means of a plurality of linear connecting elements which are arranged spaced apart from one another and parallel to one another and the membranes are kept apart from one another by the linear connecting elements and wherein the hollow fiber membranes are composed of a thermoplastic polymer and wherein the walls of the hollow fiber membranes arranged adjacent to one another are fluid-tight in at least one stripe extending parallel to the linear connecting elements, inside of which stripe the hollow fiber membranes are fluid-tight, preferably have a superheated steam shrinkage of at most 5%. Other embodiments of the invention preferably relate to a method for producing and/or using such hollow fiber membrane mats.