A fiber-web machine dryer section has a drying group with single-wire draw so the drying wire (F) presses the web (W) against heated cylinder surfaces with the web (W) at the side of the outside curve of reversing cylinders (11) situated between drying cylinders (10, 12). A pocket space (T) is formed between two adjacent drying cylinders (10) and a reversing cylinder (11) situated between them, and the drying wire (F). A negative pressure component (20) placed in the pocket space (T) creates a pressure difference over the drying wire (F) and the web (W) for attaching the web (W) to the drying wire (F) so the cross-direction shrinkage of the web (W) is controllable. The wire tension (F) is maintained at a level help control cross-direction shrinkage of the web. The pocket space (T) is sealed by sealing members (25, 26) to maintain negative pressure in the pocket space.