  We study the impact of the nucleon-$\alpha$ P-wave resonances on
neutrino-pair bremsstrahlung. Because of the non-central spin-orbit
interaction, these resonances lead to an enhanced contribution to the nucleon
spin structure factor for temperatures $T \lesssim 4$ MeV. If the
$\alpha$-particle fraction is significant and the temperature is in this range,
this contribution is competitive with neutron-neutron bremsstrahlung. This may
be relevant for neutrino production in core-collapse supernovae or other dense
astrophysical environments. Similar enhancements are expected for resonant
non-central nucleon-nucleus interactions.
