A method to embed models of strong WW scattering in unitary gauge ampl
itudes is presented that eliminates the need for the effective W appro
ximation (EWA) in the computation of cross sections at high energy col
liders, The cross sections obtained from the U-gauge amplitudes includ
e the distributions of the final state fermions in ff --> ffWW, which
cannot be obtained from the EWA. Since the U-gauge method preserves th
e interference of the signal and the gauge sector background amplitude
s, which is neglected in the EWA, it is more accurate, especially if t
he latter is comparable to or bigger than the signal, as occurs for in
stance at small angles because of Coulomb singularities. The method is
illustrated for on-shell W+W+ --> W+W+ scattering and for qq --> qqW(
+)W(+).