A system and method for producing an aerogel composite material includes a reaction vessel having a movable carrier basket for receiving a plurality of fiber mats, and a plurality of plates to space the fiber mats apart from one another. Once the plates have been removed, there are gaps between the aerogel insulating boards, through which hot drying air can be blown during a drying process. The method has the advantage that the quantities of solvents and reagents to be disposed of are minimal, and in addition thereto, no complex work-up processes are necessary.