Warped models with the Higgs confined to the weak brane and the gauge and matter fields accessing the bulk can address the issue of gauge hierarchy problem. Brane kinetic terms for the bulk fields are known to ease some of the tensions of these models with precision electroweak observables and flavor constraints. In this scenario we study the loop driven Higgs coupling to the gluons that is relevant to the Higgs program at LHC. We demonstrate the cancellation in the contribution of the fermionic KK towers within such framework relatively independent of the 5D parameters. The entire dependence of this coupling on the new physics arise from the mixing between the Standard Model states and the KK excitations. We find that the present precision in measurement of these couplings can lead to a constraint on the KK scale upto 1.2 TeV at 95% confidence level.