A press roll for acting in opposition to a counter roll. The press roll has a support member which is supported at its opposite ends. The support member is stationary in certain most embodiments and rotatable in one embodiment. A flexible, liquid-tight endless press jacket is wrapped around the support member. At each lateral end of the press roll, the press jacket is fastened to the outward end of a supporting disk, which is rotatably mounted on the support member. The lateral edge zones of the press jacket are both deformed radially inwardly around the outside of the respective supporting disks and each edge zone is clamped there by a annular clamping flange. To facilitate deformation of the edge zones, at least one of the edge zones terminates in a series of tongues separated by cutouts arrayed around the roll. Coiled tension springs engage the edge zone and/or the tongues to pull them in the direction toward the axis of the roll.