A radio frequency (RF) amplifier module has a digitally controllable amplifier to receive a first biased signal, a further biased signal, and a digital control signal including a less significant bit (LSB) component and a more significant bit (MSB) component. The digitally controllable amplifier has an LSB module operating according to the first biased signal and the LSB component, and an MSB module operating according to the further biased signal and the MSB component. The RF amplifier module further has a biasing component to apply a first, operating DC bias voltage to the further biased signal when the digitally controllable amplifier operates in a higher gain mode and the MSB module outputs a load current component, and apply a second, higher DC bias voltage to the further biasing signal when the digitally controllable amplifier operates in a lower gain mode and the MSB module outputs the load current component.