  In the context of the Minimal Supersymmetric extension of the Standard Model,
we analyze the production at future high-energy $e^+e^-$ colliders of second
and third generation scalar leptons as well as scalar quarks in association
with neutralinos and charginos, $e^+e^-\to f\tilde{f}\chi$. In the case of
third generation squarks, we also discuss the associated production with
gluinos. We show that the cross sections for some of these three-body final
state processes could be significant enough to allow for the detection of
scalar fermions with masses above the kinematical two--body threshold,
$\sqrt{s}= 2m_{\tilde{f}}$. We then discuss, taking as a reference example the
case of scalar muons, the production cross sections in various approximations
and make a comparison with the full four-body production process, $e^+e^- \to
f\bar{f} \chi \chi$, in particular around the two-sfermion threshold.
