  We present rotating wormhole solutions in General Relativity, which are
supported by a phantom scalar field. These solutions evolve from the static
Ellis wormhole, when the throat is set into rotation. As the rotational
velocity increases, the throat deforms until at a maximal value of the
rotational velocity, an extremal Kerr solution is encountered. The rotating
wormholes attain a finite mass and quadrupole moment. They exhibit ergospheres
and possess bound orbits.
