  In this paper, a traversable wormhole in the
Friedmann-Lema\^{\i}tre-Robertson-Walker (FLRW) model with one extra spacelike
compact dimension is studied. We have chosen dynamical compactification as the
evolution of the fifth dimension. In this respect, we study how the existence
of the extra dimension, affect the behavior of the energy density, the shape
function and the scale factor. It is shown that the total matter can be
non-exotic and the violation of the weak energy condition can be avoided.
