A shoe press device for treating a web, particularly for dewatering a web. A shoe press roll has a beam and a flexible press jacket around the beam. A press shoe on the beam presses the press jacket against a backing roll to define a press nip. Support elements supported on the beam press on the shoe. The support elements are in a first plurality along the shoe and a respective second plurality toward each end of the shoe. The second support elements are smaller in size with reference to their pressure area on the shoe, and there is one or more rows of second pressure elements at each end of the shoe. Different respective pressures may be applied to the main and second pluralities of support elements. The backing roll may be a sag adjustment roll including a rotatable roll jacket and support elements in the sag adjustment roll pressing on the roll jacket. The support elements in the sag adjustment roll may be similar in size with reference to the area exposed to the roll jacket and similar to or greater by one in number than the first support elements for the shoe press roll. Various devices control the pressure to the first, second and sag adjustment roll support elements.