  We discuss steady viscous Keplerian decretion discs around rapidly rotating
stars. We assume that low frequency modes, which may be excited by the opacity
bump mechanism, convective motion in the core, or tidal force if the star is in
a binary system, can transport an enough amount of angular momentum to the
region close to the stellar surface. Under this assumption, we construct a
star-disc system, in which there forms a viscous decretion disc around a
rapidly rotating star because of the angular momentum supply. We find a series
of solutions of steady viscous decretion discs around a rapidly rotating star
that extend to $R_{\rm disc}\gtsim~10R_*$ with $R_*$ being the equatorial
radius of the star, depending on the amount of angular momentum supply.
