  We present an accurate model of the muon-induced background in the DAMA/LIBRA
experiment. Our work challenges proposed mechanisms which seek to explain the
observed DAMA signal modulation with muon-induced backgrounds. Muon generation
and transport are performed using the MUSIC/MUSUN code, and subsequent
interactions in the vicinity of the DAMA detector cavern are simulated with
Geant4. We estimate the total muon-induced neutron flux in the detector cavern
to be $\Phi_n^\nu = 1.0\times10^{-9}$ cm$^{-2}$ s$^{-1}$. We predict
$3.49\times10^{-5}$ counts/day/kg/keV, which accounts for less than $0.3\%$ of
the DAMA signal modulation amplitude.
