The invention relates to an adhesive system comprising at least two separate constituents A and B. Said adhesive system comprises a) an aqueous dispersion of a polymer obtained by means of polyaddition or polymerisation of a monomer comprising at least one olefinically unsaturated double bond, or of a mixture of at least two such monomers, or of a mixture of at least two such polymers, as constituent A, and b) a dispersion of a drying agent contained in a liquid oil phase at 23 °C, as constituent B. Said oil phase contains at least 0.1 wt. % of a liquid compound at 23 °C which is soluble in the oil phase and which contains at least one covalent single, double or triple bond between a C atom and a heteroatom, or a mixture of at least two such compounds. The invention also relates to a method for the production of an adhesive consisting of constituents A and B, as well as the use of constituent B for producing adhesives.