So we're actually only 4 points behind City (currently 3rd) if we win our game in hand. Arsenal are one behind City right now but they also have that game in hand.
City have Stoke (h), Saints (a), Arsenal (h), Swansea (a).
If we win all our remaining 5 games, we would only need them to lose once and draw once, and for United to draw once, to finish 4th.
I'm getting ahead of myself again - finishing the season by winning the last 5 games would give us an 8 game league winning streak. But unlikelier things have happened. Spurs are further away from Leicester and no one's written them off for the title.