  The Higgs sector of the minimal supersymmetric standard model (MSSM) consists
of five physical Higgs bosons, which offer a variety of channels for their
experimental search. The present study aims to further our understanding of the
Tevatron reach for MSSM Higgs bosons, addressing relevant theoretical issues
related to the SUSY parameter space, with special emphasis on the radiative
corrections to the down--quark and lepton couplings to the Higgs bosons for
large $\tan\beta$. We performed a computation of the signal and backgrounds for
the production processes $W\phi$ and $b \bar{b} \phi$ at the upgraded Tevatron,
with $\phi$ being the neutral MSSM Higgs bosons. Detailed experimental
information and further higher order calculations are demanded to
confirm/refine these predictions.
