A current control mechanism for use in low power consumption circuits with limited headroom includes a differential transistor pair from whose collectors a current output is taken. The current output is a function of a reference voltage provided at bases of a reference transistor pair having emitters that are coupled to the bases of the differential pair. The reference voltage is controlled by a pair of control transistors that control current through a load. A pair of tracking transistors can be provided to track supply voltage. A single-ended topology can also be implemented.