The method is for the production of cellulose pulp in a continuous digester system. Chips are impregnated in an impregnation vessel. The chips are then fed to a subsequent digester vessel in a transfer fluid. A black liquor withdrawal is taken from the digester, which withdrawal is led to the bottom to heat the chips before the chips are fed out from the impregnation vessel. A transfer fluid is withdrawn from the digester and led to the impregnation vessel to act as an impregnation fluid. At least a portion of the transfer fluid that was withdrawn from the top of the digester passes an indirect heat exchanger, in which the transfer fluid withdrawn from the top of the digester at a temperature of at least 125° C. exchanges heat indirectly with a first fluid for the production of steam from the first fluid.