CDF has recently published a search for Higgs bosons produced in
association with vector bosons in 91 +/- 7 pb^-1 of Run I data.  Observations
are consistent with background expectation.  95% confidence level upper limits
are set as a function of the Higgs mass on sigma(ppbar -> H^0 V) . beta, with
beta the branching ratio of the Higgs decays to bb-bar and V = W,Z.  The
sensitivity of the search is limited by statistics to a cross section
approximately two orders of magnitude larger than the predicted cross section
for standard model Higgs production.  In this paper we extrapolate the results
from [1] to the next Tevatron Run II where we hope for an approximately
twenty-fold increase in the total integrated luminosity as well as a
significant improvement in the total acceptance.