Leptophobic Character of the Z' in an SU(3)_C x SU(3)_L x U(1)_X model

We show that the extra Z boson predicted within the so-called "3-3-1" model has a leptophobic character, and analyse its effects on Z decay widths and on the t\bar t production cross section in p\bar p collisions at the Fermilab Tevatron. Recent model-independent analysis are applied in order to estimate the contribution of this Z' to the observables that will be measured at LEP2.