The invention relates to seals for use at band edges in a Condebelt.RTM. apparatus described in Finnish Patent 54 514. In the apparatus, a material web to be dried passes in a substantially airless space between two metal bands (1, 7) or other similar bands or membranes of good thermal conductivity together with drying wires. One of the metal bands is arranged to heat and the other is arranged to cool; the heating band (1) evaporates moisture contained in the web to be dried, the moisture condensing on the surface of the cooling band (7), separated from the web (2) to be dried by drying wires. The drying space between the bands of the Condebelt.RTM. apparatus is sealed up at the edges by seal profiles (10, 11) attached to the heating band (1) or the cooling band (7). It is also possible to use a number of seal profiles positioned against each other or side by side.