  The CP-violating version of the Minimal Supersymmetric Standard Model (MSSM)
is an example of a model where experimental data do not preclude the presence
of light Higgs bosons in the range around 10 -- 110 GeV. Such light Higgs
bosons, decaying almost wholly to b-bbar pairs, may be copiously produced at
the LHC, but would remain inaccessible to conventional Higgs searches because
of intractable QCD backgrounds. We demonstrate that a significant number of
these light Higgs bosons would be boosted strongly enough for the pair of
daughter $b$-jet pairs to appear as a single `fat' jet with substructure.
Tagging such jets could extend the discovery potential at the LHC into the
hitherto-inaccessible region for light Higgs bosons.
