  We discuss $(n+1)$-dimensional dynamical wormholes in an evolving
cosmological background with a throat expanding with time. These solutions are
examined in the general relativity framework. A linear relation between
diagonal elements of an anisotropic energy-momentum tensor is used to obtain
the solutions. The energy-momentum tensor elements approach the vacuum case
when we are far from the central object for one class of solutions. Finally, we
discuss the energy-momentum tensor which supports this geometry, taking into
account the energy conditions .
