pp(macro)-->tt(macro)H: a discovery mode for the Higgs boson at the Fermilab Tevatron

The production of a standard model Higgs boson in association with a top quark pair at the upcoming high luminosity run ( 15 fb(-1) integrated luminosity) of the Fermilab Tevatron ( square root of s = 2.0 TeV) is revisited. For Higgs masses below 140 GeV we demonstrate that the production cross section times branching ratio for H-->bb macro decays yields a significant number of events and that this mode is competitive with and complementary to the searches using pp(macro) -->WH,ZH associated production. For higher mass Higgs bosons the H-->W(+)W(-) decays are more difficult but have the potential to provide a few spectacular events.