At the end of the segment, which played out like a truncated version of the playthrough at Sony's press conference (sans shotgun blast to the face this time), Fallon asked game director Bruce Straley and creative director Neil Druckmann when we’ll finally get to play The Last of Us. Their answer? 2013.
I’d say it’s pretty likely The Last of Us avoids the increasingly crowded February 2013, but with God of War: Ascension already scheduled for March 12, it's unclear where The Last of Us fits. Maybe late spring?