A combination of a press felt with a pressure and/or suction roll covering for a papermaking machine, including a porous press felt with a carrier structure. The pressure or suction roll covering having a circumferential groove surface structure having a groove width in the range of 0.5 mm to 1.5 mm, a distance between grooves in the range of 1.5 to 2.5 mm and a groove depth in the range of 1.5 mm to 4 mm. A percentage of an open surface relative to an overall surface of the pressure roll covering is in a range of 20% to 50%. The suction roll covering additionally having an arrangement of holes with a plurality of suction holes completely penetrating through the suction roll covering, whereby a percentage of an open surface in relation to an overall surface of the suction roll covering is in a range of 30% to 50%.