  We propose a Vector-like quark (VLQ) model constrained by the requirement of
perturbative unitarity. In this scenario, the neutral and charged couplings of
the new heavy VLQs to SM quarks and bosons are strictly related. We derive the
corresponding sum rules and display the definite structure of the couplings. We
analyse, qualitatively, the phenomenological consequences of this model in
terms of expected width, production mechanism and decay channels. We show that
the upcoming LHC run 3 could have sensitivity to such particles but the search
strategy should be adapted to cover wide resonances decaying mainly in the
charged channel T(B) -> Wq.
