  The time evolution of a wormhole in a Friedmann universe approaching the Big
Rip is studied. The wormhole is modeled by a thin spherical shell accreting the
superquintessence fluid - two different models are presented. Contrary to
recent claims that the wormhole overtakes the expansion of the universe and
engulfs it before the Big Rip is reached, it is found that the wormhole becomes
asymptotically comoving with the cosmic fluid and the future evolution of the
universe is fully causal.
