  Gauge-flation, non-Abelian gauge field inflation, which was introduced in
arXiv:1102.1513 and analyzed more thoroughly in arXiv:1102.1932, is a model of
inflation driven by non-Abelian gauge fields minimally coupled to Einstein
gravity. In this model certain rotationally invariant combination of gauge
fields play the role of inflaton. Recently, the chromo-natural inflation model
was proposed arXiv:1202.2366 which besides the non-Abelian gauge fields also
involve an axion field. In this short note we show that the model involving
axions, indeed allows for various slow-roll trajectories for different values
of its parameters: A specific trajectory discussed in arXiv:1202.2366 starts
from a "small axion" region, while the trajectory considered in arXiv:1102.1513
corresponds to a "large axion" region.
