The CP-violating version of the Minimal Supersymmetric Standard Model 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 bb̄ 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. © 2012 American Physical Society.