  It is often argued that low fine tuning in the MSSM necessarily requires a
rather light Higgsino. In this note we show that this need not be the case when
a more complete set of soft SUSY breaking mass terms are included. In
particular an Higgsino mass term, that correlates the $\mu-$term contribution
with the soft SUSY-breaking Higgsino masses, significantly reduces the fine
tuning even for Higgsinos in the TeV mass range where its relic abundance means
it can make up all the dark matter.
