Nottingham Forest have so much at stake when they face Manchester City next, they have come a long way this season so I expect even if they will go down it wouldn’t happen without a fight. Manchester City should expect a tough game when they face Nottingham Forest. It’s an all or nothing game for Nottingham Forest because Chelsea have an 85% winning probability when they face Leicester City.
That is indeed a crucial match for both teams but more for Nottingham Forest. If Nottingham Forest succeeds in qualifying for champions league next season, that will be a big achievement for them, that is why they need to win as many matches as possible. The champions league spot is still a very big fight between Manchester City, Nottingham Forest and Newcastle but just like you said, Chelsea have a very high chance of beating Leicester to enter the third position depending on what the outcome of Nottingham Forest against Manchester City is as either of them that wins the match will be third.