A Charge Pump Buck Converter (CPBC) includes a BC including an inductor and a CP coupled in parallel. Control logic is coupled to a switch driver coupled to a power switch(es). Control circuitry includes a voltage sensor sensing Vout and a voltage level generator for generating a first voltage level coupled to the CP stage and a second voltage level coupled to a duty cycle/rate generator block providing an input to an under voltage (UV) monitor coupled between OUT and the control logic. The control circuitry disables the CP when Vout>a first Vout level and controls the BC to regulate to a second Vout level>the first Vout level. During handoff between CP and BC during power up if Vout drops below a UV threshold, the UV monitor block modifies an input applied to the control logic for increasing charging supplied to the inductor.