A process for the production of a composite membrane, one or more microporous separation layers comprising a zeolite of the MFI type being produced by hydrothermal synthesis on a porous substrate, wherein one or more additives from the group consisting of linear (C1-C4)-alcohols, ammonia, primary, secondary and tertiary amines having in each case (C1-C4)-alkyl radicals, (C1-C4)-aminoalcohols and (C3-C4)-ketones are added to the synthesis solution for the hydrothermal synthesis.