  We demonstrate that observations of the gravitational memory from core
collapse supernovae at future Deci-Hz interferometers enable time-triggered
searches of supernova neutrinos at Mt-scale detectors. Achieving a sensitivity
to characteristic strains of at least $\sim 10^{-25}$ at $f\simeq 0.3$ Hz --
e.g., by improving the noise of DECIGO by one order of magnitude -- will allow
robust time triggers for supernovae at distances $D\sim 40-300$ Mpc, resulting
in a nearly background-free sample of $\sim 3-70$ neutrino events per Mt per
decade of operation. This sample would bridge the sensitivity gap between rare
galactic supernova bursts and the cosmological diffuse supernova neutrino
background, allowing detailed studies of the neutrino emission of supernovae in
the local Universe.
