In this paper, we discuss wormhole models in the Einsteinian-cubic-gravity for some specific shape functions of the form b(r) = r(-n)r(0)(n+1), b(r) = r(n)r(0)(1-n), and b(r) = A tan(- )l(Cr). For this purpose, we consider the spherically symmetric static geometry with anisotropic source of matter for which different energy conditions are analyzed. We present the wormhole conditions and the energy conditions graphically. In particular, we notice that the null energy condition is strongly violated, which confirms the presence of exotic matter for the specific shape functions chosen here. Therefore, traversable wormholes exist in the Einsteinian-cubic-gravity for the hybrid-specific shape functions b(r) = r(-n)r(0)(n+1), b(r) = r(n)r(0)(1-n), and b(r) = A tan(-1) (Cr).