No cosmic antinucleus has yet been detected in the primary cosmic radi
ation. Only upper limits to the antinucleus fluxes have been measured
in various rigidity ranges in different experiments. Calculations of t
he flux reduction experienced by cosmic antihelium traversing the Milk
y Way are reported. A significant depression of the antihelium flux ha
s been found in the low-momentum band 2-6 GeV/c compared to that postu
lated to exist in the intergalactic space. The relevant results presen
ted here are based on simple observational data regarding the total ma
tter column swept by cosmic rays in the Milky Way and the expected pro
perties of antihelium interactions with the interstellar hydrogen. The
calculations have been made by the simulation code LEASA (Low Energy
Antinucleus Simulation Algorithms) developed to describe antinucleus i
nteractions with matter. Important implications of these results on pa
st and future experiments giving upper limits on antihelium-to-helium
flux ratios are discussed.