Drug infusion system capable of delivering a fluid medication to a patient and method for doing same is described. An implantable drug delivery device is capable of delivering the fluid medication at a programmable rate to the patient under control of an original programming cycle having a plurality of steps in a plurality of time slots beginning at a starting time. The programming cycle specifies the programmable rate for each of the plurality of steps. An external controller is capable of storing a program representative of the original programming cycle in the implantable drug delivery device at a programming time. The drug infusion system adjusts the implantable drug delivery device so that the original programming cycle will begin at a time during the original programming cycle adjusted for the programming time.