The present invention provides a method of preparing a tape with a given width, said tape being composed of an assembly of filaments extending in a direction substantially parallel to the length of the tape, and between which a powder of a polymeric material is distributed, each face of said tape being associated with a nonwoven of polymeric fibers, the method comprising: —a step consisting in depositing powder formed from a polymeric material on at least one of the faces of the tape, preferably on both faces; —a step consisting in heating in order to at least partially soften the deposited powder then of tightening the tape in order to adjust its width to the width desired and to cause at least a portion of the powder to penetrate into the thickness of the tape between the filaments, and of cooling the tape to fix its width and provide cohesiveness because of the powder; and—to tapes obtained using said method.