Neutrino emission from supernovae has played a transformative role in the development of neutrino physics and our understanding of how the stars collapse. Growing evidence has established the presence of dense circumstellar material for core-collapse supernova, and the interaction of accelerated cosmic rays in the supernova ejecta and the circumstellar material will produce high-energy neutrinos. Observation of high-energy neutrinos along with the MeV neutrinos from supernovae will provide unprecedented opportunities to understand unanswered questions in cosmic-ray and neutrino physics. Here, we present the prospects for observation of high-energy neutrino bursts from type II supernovae in local galaxies by current and future neutrino telescopes and demonstrate how additions of new neutrino telescopes will extend the edge for identification of high-energy neutrinos from supernovae.