The invention relates to a process for producing cellulolytic or hemicellulolytic enzymescomprising A growth phase a) of a cellulolytic microorganism in a closed reactor, in the presence of at least one carbonaceous growth substrate in a concentration between 10 and 90 g/L, at a temperature of 25-30° C. and a pH of 4-5.5 An enzyme production phase b) in which at least one inducer carbonaceous substrate is added, at a temperature of 25-27° C. and a pH of 4-5, process in which the said inducer substrate is a pretreated pomace obtained from a pretreatment process of lignocellulosic material that has not undergone enzymatic hydrolysis and that is added in fed-batch or continuous mode, and which has particular characteristics: a hydrolysis yield greater than 80% in a test and an apparent viscosity, measured in the test, of less than 1 Pa·s for a shear rate of 10 s−1.