Palace are are also yet to win a game this campaign but getting their first points on Monday night might prove to be a difficult task for them.
After missing out on the league crown by a narrow margin, Liverpool suffered another heartbreak in the Champions League final by losing to Real Madrid.
The Reds ran out 3-1 winners over the defending Premier League champions on Saturday in the Community Shield.
Pep Guardiola’s boys won their second successive league trophy last season but suffered a painful defeat in the Champions League semifinal.
RB Leipzig will host Liverpool in a pre-season friendly at Red Bull Arena on Thursday evening.
Jurgen Klopp’s side enjoyed a memorable campaign last time around. However, their ending to the season was a bit of a letdown.
Liverpool have already signed two promising youngsters - Fabio Carvalho (Fulham) and Calvin Ramsey (Aberdeen). But, their marquee signing was Darwin Nunez.
In the unlikely event that both teams finish on the same number of points, City will win the title due to a superior goal difference.
Liverpool can lift the 2021-22 English Premier League title if they beat Wolves on Sunday and Manchester City fail to win at home to Aston villa.
Jurgen Klopp’s side have a game in hand and that is against Southampton on Tuesday. Liverpool need to win the match to keep their title challenge alive.