  We examine signals for sparticle production at the Tevatron within the
framework of gauge mediated supersymmetry breaking models for four different
model lines, each of which leads to qualitatively different signatures. We
identify cuts to enhance the signal above Standard Model backgrounds, and use
ISAJET to evaluate the SUSY reach of experiments at the Fermilab Main Injector
and at the proposed TeV33. For the model lines that we have examined, we find
that the reach is at least as large, and frequently larger, than in the mSUGRA
framework. For two of these model lines, we find that the ability to identify
$b$-quarks and $\tau$-leptons with high efficiency and purity is essential for
the detection of the signal.
