  In this work we wonder if there is a way to generate a wormhole (WH) in
nature using "normal" matter. In order to give a first answer to this question,
we study a massless scalar field coupled to an electromagnetic one (dilatonic
field) with an arbitrary coupling constant, as source of gravitation. We obtain
an exact solution of the Einstein equations using this source that represents a
magnetized rotating WH. This space-time has a naked ring singularity, probably
untouchable as in \cite{Matos:2012gj}, but otherwise regular. The WH throat
lies on the disc bounded by the ring singularity, which keeps the throat open
without requiring exotic matter, that means, satisfying all the energy
conditions. After analyzing the geodesic motion and the tidal forces we find
that a test particle can go through the WH without troubles.
