Process for producing a pulp

A process for producing a lyocell fiber from a dissolving pulp, comprising the step of cooking a cellulosic starting material with a cooking liquor in a kraft process to obtain the dissolving pulp, wherein the cellulosic starting material is exposed to a steam treatment prior to cooking, wherein the steam treatment consists of applying a temperature of 120° C. or more and a P-factor of 50 or less, wherein the dissolving pulp obtained by cooking is subjected to cold caustic extraction (CCE) in the course of further processing whereby a CCE treated dissolving pulp is formed, and wherein the lyocell fiber having a content H of hemicellulose of more than 3.5% by weight and less than 5% by weight is produced from the CCE treated dissolving pulp.