For now, Nottingham is 6 points ahead of the nearest team, if you look at that I think they are still not comfortable in 3rd place and there is still a possibility that they will lose their place because in the remaining matches they will face strong teams so that losing points is still open for them. Aston Villa, Everton, Tottenham and Chelsea are not easy opponents to beat. But if it is to secure a UCL ticket, yes they have a great chance considering that there are 5 tickets that will be distributed in the Premier League.
Nottingham Forest is a strong team. They are capable of playing well against big teams. In the last few matches, Nottingham Forest have won against renowned teams like Manchester City and Manchester United. This shows that Nottingham Forest has the ability to perform well against big teams. In the upcoming matches, some of Nottingham Forest's opponents may be strong. Even then, Nottingham Forest has the ability to play well and earn points. So this team has the highest chance of making it to the top four of the table. Chelsea and City can fight for the fourth place in the table.