  We propose a modification of the Natural Inflation (NI) potential in such a
way that the spontaneous symmetry breaking scale $f$ can take values less than
one (in Planck units). The proposed potential seems simple enough, however, its
consequences are difficult to calculate analytically. Therefore, we illustrate
the feasibility of the model by considering some numerical examples that easily
satisfy the conditions imposed on the observables $n_s$ and $r$ by the most
recent observations, while at the same time maintaining the number of e-folds
during the inflationary epoch within the expected range.
