A process for operating a continuous removal of a target product X in the form of fine crystals of a liquid phase P comprising the target product X and constituents other than the target product X by cooling suspension crystallization in the secondary chamber of an indirect heat exchanger to which liquid phase P flows continuously with simultaneous continuous flow through the primary chamber of the indirect heat exchanger with a coolant, and continuous withdrawal of a crystal suspension S having a degree of crystallization Y from the secondary chamber in two operating states I and II, wherein the coolant temperature is lower, the mass flow of liquid phase P is greater and the molar proportion of the constituents other than the target product X in the liquid phase P in operating state II is greater than in operating state I.