Alisson says Liverpool are desperate for more success.
The Reds finished last season with the Champions League trophy and a second-placed finish in the Premier League.
And their Brazilian goalkeeper knows they must work hard to continue that success this season.
He told the club's website: "It's a long road, we need to keep focused and keep playing well in the games, put more intensity into the games.
"We are in the right way. We have a lot to grow during the season. We achieved big things last season but we don't want to stop, we want more.
"But to achieve more we need to work more and work hard because everyone wants to beat Liverpool, the last champion of the Champions League. So we need to work hard. We have a good chance."