Out·sit' transitive verb To remain sitting, or in session, longer than, or beyond the time of; to outstay. Found on http://www.encyclo.co.uk/webster/O/46
to sit longer than; outwait: He was determined to outsit his rival. · to sit beyond the time of: We realized we were outsitting our welcome. Found on https://www.infoplease.com/dictionary/outsit