That would be good. Looking at the fixtures (and considering how we've gone against the top six so far) realistically we may have to be safe by Palace away on April 14th. So that's a rather large match, then. Of the next four, can't count on anything, possibly get something at Burnley, but looks like its Selhurst or bust, where 'bust' in this case might mean a heroic victory over Utd or Spurs at home...
Can't help but feel that it looks pretty certain we'll lose all our matches against the top 6 this year so I think you're spot on with your first sentence.