The person invention relates to a method for the production of a polyurethane composition with a low isocyanate monomer content. In said method, at least one polyurethane polymer comprising isocyanate groups is reacted with at least one compound VB, wherein the compound VB comprises a group carrying an active hydrogen that represents a hydroxyl group or a mercapto group or a secondary amino group and at least one blocked amino group selected from the group consisting of aldimino groups of the formula (Ia) or (Ib), ketimino groups, enamino groups, and oxazolidino groups. Using said method, compositions are obtained in a cost-effective, efficient, and elegant manner having an extremely reduced monomeric diisocyanate content, said compositions being particularly suitable as hot-melt adhesives. ##STR00001##