The device for conveying a fiber web comprises a transport device, which serves as a support for the fiber web, and which is driven by a drive in a transport direction at a speed of at least 50 m/min. The transport device has a rough surface and carries along the fiber web resting on the transport device by force of friction. An array of linear elements arranged above the transport device serves to cover the fiber web resting on the transport device. The linear elements have a smooth surface, and the fiber web is carried along the bottom surface of the linear elements. The linear elements are arranged next to each other but spaced apart in a direction transverse to the transport direction.