  We study the propagation of cosmic rays generated by sources residing inside
superbubbles. We show that the enhanced magnetic field in the bubble wall leads
to an increase of the interior cosmic ray density. Because of the large matter
density in the wall, the probability for cosmic ray interactions on gas peaks
there. As a result, the walls of superbubbles located near young cosmic ray
sources emit efficiently neutrinos. We apply this scenario to the Loop~I and
Local Superbubble: These bubbles are sufficiently near such that cosmic rays
from a young source as Vela interacting in the bubble wall can generate a
substantial fraction of the observed astrophysical high-energy neutrino flux
below $\sim$ few $\times 100$ TeV.
