The invention provides a process for transvinylation of a reactant carboxylic acid with a reactant vinyl ester to give a product vinyl ester and the corresponding acid of the reactant vinyl ester in the presence of one or more catalysts, in a reactor at a temperature of 100°C to 170°C and a pressure of 2 bar abs. to 15 bar abs., wherein the reactant vinyl ester, the reactant carboxylic acid and the catalyst are supplied to a reactor, and the transvinylation reaction is conducted, and, on completion of the transvinylation reaction, the product vinyl ester is separated from the reaction mixture by distillation, characterized in that the reaction mixture is decompressed in a decompression vessel, the gaseous phase obtained is then condensed and recycled into the reactor without further purification, and the liquid phase obtained is freed of reactant vinyl ester and corresponding acid with a first distillation, and the product vinyl ester is separated from the reaction mixture in a further distillation step.