The generalized Chaplygin gas ( GCG ) is a candidate for the unification of dark energy and dark matter , and is parametrized by an exotic equation of state given by p _ { ch } = - A / \rho _ { ch } ^ { \alpha } , where A is a positive constant and 0 < \alpha \leq 1 . In this paper , exact solutions of spherically symmetric traversable wormholes supported by the GCG are found , possibly arising from a density fluctuation in the GCG cosmological background . To be a solution of a wormhole , the GCG equation of state imposes the following generic restriction A < ( 8 \pi r _ { 0 } ^ { 2 } ) ^ { - ( 1 + \alpha ) } , where r _ { 0 } is the wormhole throat radius , consequently violating the null energy condition . The spatial distribution of the exotic GCG is restricted to the throat neighborhood , and the physical properties and characteristics of these Chaplygin wormholes are further analyzed . Four specific solutions are explored in some detail , namely , that of a constant redshift function , a specific choice for the form function , a constant energy density , and finally , isotropic pressure Chaplygin wormhole geometries .