A method for controlling power consumption of a processor, the method includes: receiving an indicator that indicates that the processor is expected to change its activity; determining, in response to the indicator and to a current power consumption of the processor, whether to change a frequency of a clock signal that is provided to the processor; and changing, if determining to change the frequency of the clock signal, the frequency of the clock signal by a reduction of the frequency of the clock signal that is followed by an increment of the frequency of the clock signal; wherein the changing of the frequency of the clock signal is responsive to an expected change of a supply voltage that is supplied to the processor as a result of a possible change in a power consumption of the processor due to an expected change of activity of the processor.