The invention relates to a method for producing amines of formula (1), wherein R3 is an organic group containing from 2 to 600 alkoxy groups and R1 and R3 groups are similar or different and represent a hydrogen atom or an organic group containing from 1 to 400 carbon atoms. The inventive method consists in bringing a compound of formula (2) into contact a compound of formula (3) in the presence of hydrogen with a metal-containing catalyst, wherein the metal content in cobalt is equal to or greater than 80% by weight.