For what I have seen/read of Suarez playing for one of the 'big boys' doesn't seem to be a massive aim, he seems to thrive on winning and being successful, on being a leader for his team, as well as playing champions league football which he has admitted he wants, barring us shitting the nest he will have all of those things at Liverpool next year.
I suppose you never know but making the CL and having a tilt at the title should be enough to keep Suarez and I'd like to think next season can be even better than this one with additions in the summer and playing in Europe, Suarez is the best paid player at the club, he is worshipped by the fans and I would say he is in line to be captain after Gerrard if he's still here in a few years, it depends what he wants out of his footballing career.