A process is presented for the preparation of a high-cohesion non-thermoplastic pressure-sensitive adhesive (PSA) on the basis of elastomers, in which neither a solvent nor thermoplastic additives are used and yet thermal breakdown during compounding is kept low. This is achieved through the addition of a vaporizable process agent which is introduced into the adhesive after the constituents have been premixed and which undergoes flash vaporization therein, thereby quenching the adhesive. Furthermore, the use of water to cool the adhesive is proposed, and the high-cohesion PSA thus produced, and also a pressure-sensitive adhesive tape with an adhesive of this kind, are presented.