  The spherically symmetric accretion of dark and phantom energy onto
Morris-Thorne wormholes is considered. It is obtained that the accretion of
phantom energy leads to a gradual increase of the wormhole throat radius which
eventually overtakes the super-accelerated expansion of the universe and
becomes infinite at a time in the future before the occurrence of the big rip
singularity. After that time, as it continues accreting phantom energy, the
wormhole becomes an Einstein-Rosen bridge whose corresponding mass decreases
rapidly and vanishes at the big rip.
