  Recently, Bogu\~{n}\'{a} {\it et. al.} [Phys. Rev. Lett. {\bf 111}, 068701
(2013), arXiv:1305.4819] claimed that the epidemic threshold of the
susceptible-infected-susceptible (SIS) model is zero on random scale-free (SF)
networks with the small-world (SW) property. They drew the conclusion by taking
into account a long-range reinfection mechanism. In this Comment, we will show
that such an effect is too weak to guarantee an endemic phase with a {\em
finite} fraction of infected nodes. Consequently, the epidemic threshold can be
finite in random SF networks.
