The invention concerns a method for large-scale production of a polypeptide in eukaryote cells contained in a serum-free culture liquid, said method comprising (i) a propagation phase for said cells, where the cells are propagated in a first cell culture liquid, and (ii) a production phase for said cells, where the cells are present in a second cell culture medium liquid, wherein each of the cell culture liquids comprise a plant protein hydrolysate, and wherein the ratio between the concentration of the plant protein hydrolysate (C1) in the first cell culture liquid and the concentration of the plant protein hydrolysate (C2) in the second cell culture liquid is at least 1.5:1 (C1:C2).