  Fast-spinning newborn pulsars are intriguing candidate sources of ultrahigh
energy cosmic rays (UHECRs). The acceleration of particles with a given
composition in a fraction of the extragalactic pulsar population can give a
consistent explanation for the measurements of the Auger Observatory. We
calculate the associated diffuse neutrino flux produced while particles cross
the supernova ejecta surrounding the stars. We show that in the minimal pulsar
scenario that are compatible with the UHECR data, the effective optical depth
to hadronuclear interactions is larger than unity at ultrahigh energies. Thus,
even in the most pessimistic case, one expects energy fluxes of $\sim 0.1 - 1
\,\rm EeV$ neutrinos that should be detectable with IceCube or Askaryan Radio
Array within a decade.
