In this article, a new family of asymptotically flat wormhole solutions in the context of symmetric teleparallel gravity, i.e., f(Q) theory of gravity, are presented. Considering a power-law shape function and some different forms of the f(Q) function, we show that a wide variety of wormhole solutions for which the matter fields satisfy some energy conditions, are accessible. We realize that the presence of f(Q) gravity will be enough to sustain a traversable wormhole without exotic matter. The influence of the free parameters of the shape function and the f(Q) models on the energy conditions is investigated. The equation of state and the boundary conditions are analyzed.