  The current LHC results make weak scale supersymmetry difficult due to
relatively heavy mass of the discovered Higgs boson and the null results of new
particle searches. Geometrical supersymmetry breaking from extra dimensions,
Scherk-Schwarz mechanism, is possible to accommodate such situations. A
concrete example, the Compact Supersymmetry model, has a compressed spectrum
ameliorating the LHC bounds and large mixing in the top and scalar top quark
sector with $|A_t|\sim 2m_{\tilde{t}}$ which radiatively raises the Higgs mass.
While the zero mode contribution of the model has been considered, in this
paper we calculate the Kaluza-Klein tower effect to the Higgs mass. Although
such contributions are naively expected to be as small as a percent level for
10 TeV Kaluza-Klein modes, we find the effect significantly enhances the
radiative correction to the Higgs quartic coupling by from 10 to 50 %. This is
mainly because the top quark wave function is pushed out from the brane, which
makes the top mass depend on higher powers in the Higgs field. As a result the
Higgs mass is enhanced up to 15 GeV from the previous calculation. We also show
the whole parameter space is testable at the LHC run II.
