Press cover , namely a continuous belt, continuous hose or continuous cover designed to be guided together with a fibrous material web through the press nip of a shoe press, comprising multiple polymer layers (20.1, 20.2), wherein a first polymer layer (20.1), viewed in relation to the longitudinal axis of the press cover , is the radially outermost polymer layer thereof and, viewed in radial direction of the press cover , has a thickness of not more than 60% of the total thickness of the press cover , wherein the first polymer layer (20.1) comprises grooves or holes that have been introduced into the radially outermost shell surface thereof and the grooves or holes, viewed in radial direction of the press cover , have a depth corresponding to not more than 95% of the thickness of the first polymer layer (20.1), wherein the press cover comprises a second polymer layer (20.2) which is the radially innermost viewed in relation to the longitudinal axis thereof, wherein the first and second polymer layers (20.1, 20.2) each comprise or have been produced from a polyurethane, and the polyurethane has been formed from a prepolymer and a crosslinker, wherein the prepolymer of the first polymer layer (20.1) is a reaction product of - phenylene 1,4-diisocyanate (PPDI), naphthalene 1,5-diisocyanate (NDI) or 3,3'-dimethyl-4,4'-biphenylene diisocyanate (TODI) and at least one polyol selected from a polyether polyol, polycarbonate polyol, a polyether polycarbonate polyol, or - diphenylmethane 4,4'-diisocyanate (MDI) and at least one polyol selected from a polycarbonate polyol, a polyether polycarbonate polyol, or - mixtures thereof, wherein the prepolymer of the second polymer layer (20.2) is a reaction product of: - diphenylmethane 4,4'-diisocyanate (MDI), toluene 2,4-diisocyanate (TDI) or naphthalene 1,5-diisocyanate (NDI) and at least one polyol selected from a polyether polyol, or - mixtures thereof, wherein the crosslinker comprises butane-1,4-diol (BDO), hydroquinone 1,4-bis(2-hydroxyethyl) ether (HQEE), 4,4'-methylenebis(3-chloro-2,6-diethylaniline) (MCDEA), diethyltoluenediamine (DETDA), dimethylthiotoluenediamine (DMTDA) or mixtures thereof. wherein the first and second polymer layers (20.1, 20.2) each comprise or have been produced from a polyurethane, and the polyurethane has been formed from a prepolymer and a crosslinker, wherein the prepolymer of the first polymer layer (20.1) is a reaction product of - phenylene 1,4-diisocyanate (PPDI), naphthalene 1,5-diisocyanate (NDI) or 3,3'-dimethyl-4,4'-biphenylene diisocyanate (TODI) and at least one polyol selected from a polyether polyol, polycarbonate polyol, a polyether polycarbonate polyol, or - diphenylmethane 4,4'-diisocyanate (MDI) and at least one polyol selected from a polycarbonate polyol, a polyether polycarbonate polyol, or - mixtures thereof, - phenylene 1,4-diisocyanate (PPDI), naphthalene 1,5-diisocyanate (NDI) or 3,3'-dimethyl-4,4'-biphenylene diisocyanate (TODI) and at least one polyol selected from a polyether polyol, polycarbonate polyol, a polyether polycarbonate polyol, or - diphenylmethane 4,4'-diisocyanate (MDI) and at least one polyol selected from a polycarbonate polyol, a polyether polycarbonate polyol, or - mixtures thereof, wherein the prepolymer of the second polymer layer (20.2) is a reaction product of: - diphenylmethane 4,4'-diisocyanate (MDI), toluene 2,4-diisocyanate (TDI) or naphthalene 1,5-diisocyanate (NDI) and at least one polyol selected from a polyether polyol, or - mixtures thereof, - diphenylmethane 4,4'-diisocyanate (MDI), toluene 2,4-diisocyanate (TDI) or naphthalene 1,5-diisocyanate (NDI) and at least one polyol selected from a polyether polyol, or - mixtures thereof, wherein the crosslinker comprises butane-1,4-diol (BDO), hydroquinone 1,4-bis(2-hydroxyethyl) ether (HQEE), 4,4'-methylenebis(3-chloro-2,6-diethylaniline) (MCDEA), diethyltoluenediamine (DETDA), dimethylthiotoluenediamine (DMTDA) or mixtures thereof. <EOS>