  The motion of spinning test particles around a traversable wormhole is
investigated using the Mathisson Papapetrous Dixon equations, which couple the
Riemann tensor with the antisymmetric tensor $S^{ab}$, related to the spin of
the particle. Hence, we study the effective potential, circular orbits, and
innermost stable circular orbit ISCO of spinning particles. We found that the
spin affects significantly the location of the ISCO, in contrast with the
motion of nonspinning particles, where the ISCO is the same in both the upper
and lower universes. On the other hand, since the dynamical fourmomentum and
kinematical fourvelocity of the spinning particle are not always parallel, we
also consider a superluminal bound on the particles motion. In the case of
circular orbits at the ISCO, we found that the motion of particles with an
adimensional spin parameter lower greater than $s=-1.5$ $(1.5)$ is forbidden.
The spin interaction becomes important for Kerr black hole orbiting super
massive wormholes SMWH.
