If they can keep consistency in the next few games then the battle for the 4th and 5th spot will be between Chelsea, Manchester city and Nottingham forest as to who will bow out to the UEL.
And Aston Villa.
Currently, Aston Villa is at 7th place, but they have the same points as Chelsea and only 1 point less than Manchester City that is at 5th place.
So their current position is starting to be under pressure, Nottingham may not be able to finish in the top 4, because big teams will come to take over their place again.
Nottingham Forest (or any other team) will qualify for the champions league even they finish the premier league at 5th place.