  In this work, the study of traversable wormholes in $f(R)$ gravity with the
function $f(R)=R+\alpha R^n$, where $\alpha$ and $n$ are arbitrary constants,
is taken into account. The shape function $b(r)=\frac{r}{\exp(r-r_0)}$,
proposed by Samanta et al. \cite{godani1}, is considered. The energy conditions
with respect to both constant and variable redshift functions are discussed and
the existence of wormhole solutions without presence of exotic matter is
investigated.
