Abstract: Process for the preparation of (omega-carbalkoxy-nor.alkyl) dialkylamines having a linear alkyl chain, comprising the steps of amination of allyl compounds in which at least an allyl carbon atom is a part of a cyclopropane ring which contains one or two carboxyl or carbalkoxy groups on the carbon atom which is adjacent to the allyl carbon, or is a part of a lactone ring, in the presence of catalysts consisting of triarylphosphine complexes of palladium, or trialkyl phosphite complexes of nickel, and the subsequent hydrogenation of the unsaturated amine thus obtained. By so doing, interesting linear amines are obtained, which contain carboxyl units or carbalkoxy units, said amines being useful as additives for the industry of synthetic fibres (viscosity stabilizers for polycaprolactam).