section 4 over an idler drum 2 that can be embodied as extraction drum into the bonding plant runs around the air permeable designed through air drum 5 in the clockwise direction and then runs over a cooling drum 3 in the run out region 6 of the bonding plant the through air drum 5 the idler drum 2 and the cooling drum 3 can be arranged in a common housing 7 into which hot fresh air 8 is fed via one or more inlet flow openings the hot fresh air 8 flows through the web 1 so heating the web the air is then extracted by a fan not shown in the figure located in the end face of the through air drum 5 in this the through air drum 5 is operated at negative pressure so that different flow conditions occur in the bonding plant to prevent the web 1 adhering to the through air drum 5 the invention provides for the web 1 to be cooled shortly before the detachment from the through air drum 5 for this a channel 10 in the run out region 6 is arranged over which cooling air 9 is fed by fans not shown in the figure onto the web 1 the cooling air 9 flows through the web.