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Abstract In this work, the study of traversable wormholes in f(R) gravity with the function $$f(R)=R+\alpha R^n$$ f(R)=R+αRn , where $$\alpha $$ α and n are arbitrary constants, is taken into account. The shape function $$b(r)=\frac{r}{\exp (r-r_0)}$$ b(r)=rexp(r-r0) , proposed by Samanta et al. (arXiv:1811.06834v1 [gr-qc], 2018), 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.