  In this paper we study $(N+1)$-dimensional evolving wormholes supported by
energy satisfying a polytropic equation of state. The considered evolving
wormhole models are described by a constant redshift function and generalizes
the standard flat Friedmann-Robertson-Walker spacetime. The polytropic equation
of state allows us to consider in $(3+1)$-dimensions generalizations of the
phantom energy and the generalized Chaplygin gas sources.
