  In this paper we have explored the possibility of constructing a traversable
wormhole on the Shtanov-Sahni braneworld with a timelike extra dimension. We
find that the Weyl curvature singularity at the throat of the wormhole can be
removed with physical matter satisfying the NEC $\rho+p \geq 0$, even in the
absence of any effective $\Lambda$-term or any type of charge source on the
brane. (The NEC is however violated by the effective matter description on the
brane arising due to effects of higher dimensional gravity.) Besides satisfying
NEC the matter constituting the wormhole also satisfies the Strong Energy
Condition (SEC), $\rho+3p \geq 0$, leading to the interesting possibility that
normal matter on the brane may be harnessed into a wormhole. Incidentally,
these conditions also need to be satisfied to realize a non-singular bounce and
cyclic cosmology on the brane\cite{Sahni4} where both past and future
singularities can be averted. Thus, such a cyclic universe on the brane,
constituted of normal matter can naturally contain wormholes. The wormhole
shape function on the brane with a time-like extra dimension represents the
tubular structure of the wormhole spreading out at large radial distances much
better than in wormholes constructed in a braneworld with a spacelike extra
dimension and have considerably lower mass resulting in minimization of the
amount of matter required to construct a wormhole. Wormholes in the
Shtanov-Sahni (SS) braneworld also have sufficiently low tidal forces,
facilitating traversability. Additionally they are found to be stable and
exhibit a repulsive geometry. We are left with the intriguing possibilty that
both types of curvature singularity can be resolved with the SS model, which we
discuss at the end of the concluding section.
