The invention describes a driver (1) of an array (2) of current-driven LEDs (20), comprising a voltage converter (10) arranged to generate a supply voltage (Vboost) to the LED array (2) and to adjust the supply voltage (Vboost) in response to a feedback signal (100); a number of current sources (CS1, . . . , CSn) arranged to drive the LEDs (20) of the LED array (2); and a monitoring arrangement (M) adapted to monitor a current source voltage (Vcs1, . . . , Vcsn) relative to a voltage headroom (H) and to generate the feedback signal (100) on the basis of the headroom monitoring results. The invention further describes a device (4) comprising an LED array (2) and an embodiment of the inventive driver (1). The invention further describes method of driving an LED array (2).