We demonstrate an all-fiber supercontinuum (SC) source delivering up to 40 W of average power ranging from 750 to 2200 nm. The laser source is based on a self-Q-switched pump-sharing oscillator-amplifier. The self-Q-switched master oscillator generates giant pulses, amplified in the high-power stage. Finally, a passive fiber acts as a nonlinear stage, improving the spectrum flatness as well as the spectral broadening. To the best of our knowledge, this is the first time that a pump-sharing oscillator-amplifier is used for SC generation and is based on the use of a submeter Ytterbium-doped fiber length inside the oscillator.