The Reds moved down to second in the standings on Tuesday night after Manchester City went top on goal difference with a 2-0 victory over Everton, though Pep Guardiola’s side have now played a game more.
Jürgen Klopp’s men can reclaim first spot with a win against AFC Bournemouth at Anfield on Saturday as they look to bounce back from consecutive 1-1 draws with Leicester City and West Ham United - and Alisson maintains confidence remains high within the Melwood dressing room.
"We believe we can win the league,” the goalkeeper told Sky Sports. "We've shown in the past that we're good enough and we'll continue to show this in the games we've got to come.
"Our pressure is the same. We take things game by game without worrying about what our opponents are doing.
"Everyone wants to win this league but at Liverpool our concern is winning games and not dropping points.
"We don't think about Man City, we think about ourselves. We only think about what we can do and how things are moving forward."
Alisson added: "I really want to win the Premier League with Liverpool. We need to win games and we need to focus on our next opponent.
"To get back to the top of the league we need to win games that comes from hard work, starting on Saturday."