The invention relates to a control device for controlling the administration of propofol to a patient according to the preamble of claim 1 and to a method for controlling the administration of propofol to a patient according to the preamble of claim 4. With a method of this kind a bispectral index (BIS) target value is set which shall be, at least approximately, reached within a patient. A controller then computes a recommended infusion rate of propofol based on the target BIS value and further based on a measured propofol level of the patient for administering propofol to the patient. The controller herein comprises a model unit for computing the recommended infusion rate such that, using the model unit for determining the propofol sensitivity of a patient by means of a mathematical model taking into account the bispectral index (BIS) value and optionally the measured propofol level as input variables, the recommended infusion rate for administering propofol to the patient to achieve the BIS target value may be determined.