An adhesive tape has a preferably textile carrier and of a pressure-sensitive adhesive which is applied on at least one side of the carrier and is in the form of a dried polymer dispersion. The polymer being synthesized from (a) 5% to 25% by weight, preferably 10% to 22% by weight, of ethylene, (b) 30% to 69% by weight, preferably 40% to 60% by weight, of alkylacrylic ester having C4 to C12 alkyl radicals, (c) 20% to 55% by weight, preferably 28% to 38% by weight, of vinyl acetate, (d) 0% to 10% by weight of other ethylenically unsaturated compounds, and the pressure-sensitive adhesive comprising between 15 and 100 parts by weight of a tackifier (based on the mass of the dried polymer dispersion).