Within the composite t(R)t(L)BAR model for the doublet Higgs field in the Weinberg-Salam theory, a generalization involving a complex, triplet Higgs-type field discussed originally by Ross and Veltman, emerges naturally as the effective lagrangian describing the Higgs sector at low energies. The new, triplet Higgs field can be interpreted as a t(R)t(L)t(R)t(L)BAR composite. The parameters in the model are, however, almost completely determined by the infrared fixed point of the renormalization group equations. Given the typical prediction for the top quark mass, m(t) = 220-230 GeV, the most recent LEP data leads to a ratio of the vacuum expectation values of the Higgs triplet versus doublet of the magnitude 0.07 +/- 0.02.