Before the match with Tottenham, City have to play two more matches with Wolves and Fulham, maybe by this time Arsenal will lose points. There is no point in getting ahead of yourself, in a situation where there is only one point difference between the teams, everything can change in any match. As for Tottenham, they are missing too many opportunities to get back into the top 4, they lost to Newcastle and Arsenal, and they still have some very difficult matches ahead of them, so perhaps I am rushing to conclusions, but I am almost sure that they will not be able to move Aston Villa from the top 4.
I know that Tottenham's motivation is very big to chase Aston Villa's points so they will try to play well to get points when facing Manchester City. Defeats against Newcastle and Arsenal make the match against Manchester City even more difficult, because they will have difficulty keeping up with Pep Guardiola's men and if they lose then the opportunity to catch Aston Villa will be even more difficult to achieve.
I also think the same thing that Tottenham will have a very difficult time chasing the top four in the standings because they have to face several other strong clubs. Anything is still possible and Tottenham still have two games left to catch Aston Villa and if they are able to be consistent then nothing is impossible to finish in the top four even though it is a little more difficult.