  We test the sensitivity of a future e+e- collider to composite Higgs
scenarios encompassing partial compositeness. Besides the detailed study of the
Higgs properties, such a machine will have a rich top-quark physics programme
mainly in two domains: top property accurate determination at the $t \bar t$
production threshold and search for New Physics with top quarks above it. In
both domains, a composite Higgs scenario can manifest itself via sizable
deviations in both cross-section and asymmetry observables. Herein we discuss
such a possibility using a particular realisation, namely the 4-Dimensional
Composite Higgs Model.
