  We investigate the prospects of measuring the strange quark distribution
function at the Tevatron, using $W$ plus charm quark events. The $W$ plus charm
quark signal produced by strange quark--gluon fusion, $sg\rightarrow W^-c$ and
$\bar sg\rightarrow W^+\bar c$, is approximately 5\% of the inclusive $W+1$ jet
cross section for jets with a transverse momentum $p_T(j)>10$~GeV. We study the
sensitivity of the $W$ plus charm quark cross section to the parametrization of
the strange quark distribution function, and evaluate the various background
processes. Strategies to identify charm quarks in CDF and D$0\llap/$ are
briefly described.
