The Collaborative International Dictionary of English v.0.48:
nonterritorial \nonterritorial\ adj. (Biology) not displaying territoriality; -- of animals; as, a nonterritorial species. Opposite of territorial. [WordNet 1.5]WordNet (r) 3.0 (2006):
nonterritorial adj 1: not displaying territoriality; "a nonterritorial species" [ant: territorial]