  The recent observation by CDF collaboration has disclosed a modification in
the mass of the $W$ boson. In this regard we show that this modification in the
mass of the $W$ boson can be well explained in the background of a
6-dimensional warped geometry model, where the double warping is associated
with the two extra spatial dimensions. We consider that all the Standard Model
fields are residing in the bulk, where the bulk Higgs field gives rise to the
spontaneous symmetry breaking in the 6-dimensional spacetime. Allowing a little
hierarchy between the two moduli we exactly obtain the observed mass for the
$W$ boson, which is identified as the lowest lying Kaluza-Klein mass mode of
the bulk $W$ boson on the $(3+1)$ dimensional visible brane. The essential
feature of the 5-dimensional Randall-Sundrum scenario such as the resolution of
the gauge hierarchy problem without introducing any intermediate scale between
the Planck and the TeV scale, remains intact.
