Liverpool, Arsenal, and Newcastle are majorly seasoned to maintain their spot, while Nottingham, Manchester City, and Chelsea will duel fiercely, after all one team will step down while five teams will play Champions League, representing the Premier League.
You are technically right based on the recent performance of the three teams though i still have some doubts in Newcastle because despite making their way to the third position, i still nurse the feeling that they might drop points before the end of the season and another team takes over the third position. Arsenal and Liverpool are the only teams that i can confidently vouch that they will maintain their respective positions until the season ends, though Liverpool is already clear they are the Champions of the Premier League. For the 3rd, 4th and 5th Champions League positions, there is still strong competition in those positions so i can't tell which teams will end up occupying those positions.
I do also have doubted in Newcastle retaining the third position but judging by their recent performance, I'm beginning to have a change if mind. I'm convinced that they will finish third while Manchester City, Nottingham Forest and Chelsea battle for the fourth position. I just feel a little disappointed at Nottingham Forest for losing steam somehow in the later part of the season considering how well they started and for the fact that at some point I felt they could pull that Leicester magic that gave them the league title in the past.