  In this proceeding, we extend a previous analysis concerning the prospects of
a future electron-positron collider in testing the 4-Dimensional Composite
Higgs Model. In particular, we introduce two motivated benchmarks and study
them in Higgs-Strahlung, for three possible energy stages and different
luminosity options of such a machine and confront our results to the expected
experimental accuracies in the various accessible Higgs decay channels.
