  We show that the violation of the null energy condition by matter, required
by traversable wormholes, can be removed in spacetimes with torsion. In
addition, we show that this violation can also be removed in the conformal
frame obtained by a Weyl transformation. This comes about because both
conformally transformed wormholes and wormholes in spacetimes with torsion
become sustained thanks to a combination of 'normal' matter, that satisfies the
null energy condition, and an induced 'geometric' energy-momentum tensor that
is able to greatly violate the null energy condition.
