Jorge Molina missed a 72nd-minute penalty in Granada's 0-0 draw against Espanyol, when a win would have been enough.
Real Madrid won La Liga weeks ago and coach Carlo Ancelotti had been rotating the squad, but he put his best on the field against Real Betis.
The defeat, coupled with Burnley's win against Watford, left Norwich at the bottom of the table, 13 points from safety with four games to play.
