We first build a minimal model of vector-like quarks where the dominant Higgs boson production process at LHC -- the gluon fusion -- can be significantly suppressed, being motivated by the recent stringent constraints from the search for direct Higgs production over a wide Higgs mass range. Within this model, compatible with the present experimental constraints on direct Higgs searches, we demonstrate that the Higgs (\(h\)) production via a heavy vector-like top-partner (\(t_2\)) decay, \(pp \to t_2 \bar t_2\), \(t_2\to t h\), allows to discover a Higgs boson at the LHC and measure its mass, through the decay channels \(h\to \gamma\gamma\) or \(h\to ZZ\). We also comment on the recent hint in LHC data from a possible \(\sim 125\) GeV Higgs scalar, in the presence of heavy vector-like top quarks.