A nonwoven web made of plastic fibers and having a web thickness less than 2 mm (preferably less than 1.5 mm) and a grammage less than 30 g/m2 (preferably less than 25 g/m2) and conveyed this web in a travel direction so that it physically contacts a guide or treatment roller. A stabilization plate extending in and transversely to the travel direction of the nonwoven web is provided upstream or downstream of the roller in the travel direction, and the nonwoven web is guided in the travel direction past the stabilization plate such that a spacing between a face of the stabilization plate turned toward the nonwoven web and the nonwoven web face is 0 to 20 mm (preferably 0.1 to 10 mm, and very preferably 0.2 to 5 mm).