Nothing can be said for sure about Nottingham Forest yet. Nottingham Forest is in a somewhat safe zone. Nottingham Forest is 5 points ahead of Chelsea. However, if Nottingham Forest's performance is not stable in the upcoming matches, then they are likely to lose the third place in the table.
Chelsea, Manchester City, Brighton and Newcastle are all four teams trying to occupy the fourth place in the table. All four teams have the ability to qualify for the Champions League. Now the team that can play well in the upcoming matches will occupy the fourth place in the table. At the moment, the performance of Brighton players is more stable than Chelsea, Newcastle and Manchester City.
Nottingham Forest used to be very tough, they were one time ahead of Arsenal but now below Arsenal and the same way they are above Chelsea, with that on and off they have been doing recently with her matches, if Chelsea is serious with their games, they can take them unaware. They can become the third and Nottingham Forest can now battle With Manchester City because I believe they will want to appear in the Champions League next season.
However, if the worst case should happen and Nottingham pick interest in their performance, Chelsea is going to be the only team that will be at the risk of been demoted because as it seems, Newcastle is trying to reposition their games, they just won the EFL cup and there point are not different from that of Manchester City, if Manchester City definitely pick, they should expect Newcastle to be at their back all the time, they might end up in another conference Europa.