With Manchester City currently in poor condition, this is beneficial for Liverpool because they do have the opportunity to get more points and make them far ahead based on their points. With what you said Liverpool will face Southampton of course they have a greater chance of winning, and of course they will make it difficult for Southampton in their match later and make them get points again.
apart from that Manchester City who will compete against Tottenham, maybe they can be made difficult by Tottenham because in their unfavorable condition this makes their performance drop with the four consecutive defeats they experienced this makes them lose points and their top ranking, but even so Guardiola said that he would not back down, he still has confidence to be able to make his team good again.
This is really an opportunity for Liverpool to be able to make a bigger difference in points with Man City. So Liverpool cannot afford to lose points in the upcoming matches. And while hoping that Man City will continue to lose points in the next matches. If so, Liverpool will be able to stand more comfortably at the top of the rankings and start to dominate this season.
Currently Liverpool has a difference of 5 points with Man City and 9 points with Chelsea and Arsenal. And Liverpool still has the chance to get full points in the next match against Southampton. Meanwhile, Man City really has to fight quite hard to win because the opponent they will face is Tottenham. It's just that Man City will be the host. So I think Man City will not lose. The worst result for Man City may only be a draw in the upcoming match.