In this paper, an evolution of the power control algorithm is proposed for the third-generation WCDMA system. The algorithm is based on a modification of the transmitted power update step size. Instead of the presently-suggested fixed value, the step size is modified dynamically in order to guarantee more adapted power variations. The proposed algorithm is justified and a general form of this algorithm is presented. It is then studied in a simple simulation, which allows useful discussion and evaluation of the proposed algorithm. Important elements of the proposed algorithm are highlighted.