From Longman Dictionary of Contemporary Englishovershoeo‧ver‧shoe /ˈəʊvəʃuː $ ˈoʊvər-/ noun [countable] DCCa rubber shoe that you wear over an ordinary shoe to keep your feet dry
Examples from the Corpus
overshoe• The maid helped her take off her overshoes.• He grunted guardedly, as he heaved off his overshoes.• The standard pressure suit came with shoes, but for walking on the Moon a lunar overshoe was made for each astronaut. 