Alisson warned Liverpool cannot make excuses for their below-par performance against Leicester City as they target an improvement at Brentford.
Two calamitous own goals from Wout Faes gifted the Reds a 2-1 victory over the Foxes at Anfield on Friday – their fourth consecutive win in the Premier League.
However, Jurgen Klopp's men were criticised for their display, having fallen behind to Kiernan Dewsbury-Hall's early goal and looked vulnerable at the back.
Liverpool have an opportunity to move ahead of fifth-placed Tottenham when they visit the Brentford Community Stadium on Monday, and Alisson goalkeeper knows they need to do better.
"The only thing we could take from Friday was the win and the effort we put on the pitch," the Brazil international told LFC TV.
"But there's a lot of space to improve. Looking at the performance, we have to do a lot better if the ambition is to keep achieving the goals that we have in front of us.
"We have high expectations and the supporters have high expectations about us.
"Liverpool is a huge club which will always try to fight for titles and to be there at the top all the time. We have to do more, but we know that.
"We cannot rely on excuses. It was only the second game we have played after the World Cup. The players who had time off used that to prepare themselves. The ones who went to the World Cup could train and then rest to prepare for this moment.
"It's going to be a really important moment of the season now and we have to focus. We have to do better.
"Sometimes it's just a matter of mentality. It's not that easy to change it but we can do that for sure."
Liverpool have scored three or more goals in each of their past five meetings with the Bees.
The Reds have only scored three or more goals in six consecutive games against the same opponent once, versus Fulham between 1986 and 2000.
Salah's contract 'up to him and the club', says Slot
Arne Slot has asserted Mohamed Salah’s future is “up to him and the club”.
The Liverpool star has yet to make a decision on whether to renew his contract, and as it stands, will be leaving Anfield at the end of the season.
Salah remains a key player for the Reds, and leads the club for Premier League goals (seven) and assists (five) this term.
He scored the winner in the 72nd minute to complete Liverpool’s comeback against Brighton in the Premier League on Saturday, as they moved to the top of the table.
And despite the question marks over Salah's future, Slot is not concerned.
"[His future] is not what I think about. The only thing I think about is he is so important for us. Scores important goals, works hard for the team," the Liverpool boss told TNT Sports.
"I’m hoping he can enjoy that feeling many, many, many more times. Especially if I’m here but also if I’m not here. I’m hoping he can do this many more times.
"He’s been incredible for Liverpool over the past eight years. He’s been incredible for us this season and I hope he can continue doing this for the rest of the season and maybe longer to come, but that’s up to him and the club to find the idea about the future."
Salah could be in for a historic night on Tuesday when Liverpool face Bayer Leverkusen, having scored in each of his last five Champions League appearances at Anfield.
The last player to score in six consecutive home games in the competition for an English club was Ruud van Nistelrooy for Manchester United in April 2003.
Salah sparked renewed talk over his future after posting on Instagram on Sunday, saying that the feeling of scoring at Anfield would remain unforgettable “no matter what happens.”
But Slot was keen to quash any deeper meaning in the post.
"I haven’t spoken to him about that. You interpreted it in a way that maybe other people don’t," he told the press.
"I don’t look at Instagram posts of my players, I only talk to them which you can’t, which is the advantage I have.
"Mo is in a very good place at the moment. As long as he has been at Liverpool, he has been in a very good place, but this season again as well. I am hoping he will make a post after tomorrow and on Saturday again. What he said with that, that is not important.
"For me what is important is how he plays and what he tells me when we have conversations. That is what matters and not how you guys interpret one of his posts."
Silva grateful Fulham's dominance was rewarded with late win
Marco Silva believes Fulham claimed a "deserved win" against Brentford, though admits they should have secured the three points much earlier in their 2-1 victory.
It looked like Vitaly Janelt's 24th-minute strike against the run of play was going to wrap up all three points for Brentford, but Harry Wilson proved the Cottagers' hero off the bench, scoring twice in stoppage time to snatch the three points.
Fulham had dominated from the first whistle and had 26 shots, 12 of which were on target, though they struggled to find a way past their opponents' staunch defence until the 92nd minute.
Wilson became just the sixth player to score an equalising and match-winning goal from the 90th minute onwards in the Premier League, while his second goal was Fulham's latest-ever Premier League winner at 96:46.
Silva was delighted with how his team pushed until the final seconds to ensure they came away with a win.
"It was definitely a deserved win. We started on the front foot and dominated all the game. In the first 20 minutes, we had two clear chances to score," Silva told BBC Sport.
"After they scored, we didn't lose the confidence and the trust in ourselves, we kept pushing them back, and we created enough to not be losing at half-time.
"I told the players this is football, it can happen, but we have to keep pushing, working hard and playing our way.
"It was late, it should've been much before, but that's football."
Brentford, meanwhile, have now dropped a league-high 14 points from winning positions in the Premier League as they suffered a fifth consecutive away defeat in the competition.
In fact, they are the first side in the competition's history to score the first goal in four consecutive away games and lose all four.
They had defended resolutely until their late lapse in concentration, and even had a chance to win it, only for Bernd Leno's impressive save to keep out Fabio Carvalho in the 95th minute.
Thomas Frank, though, admitted he was not yet ready to take the positives from the performance after the disappointment of their late defeat.
"It was tough. It is emotionally very tough right now," Frank told Sky Sports.
"When you are leading in the 92nd minute, and you lose, it is tough. I don't think we hit our highest level. I think on the day Fulham were better.
"There was a lot of good defending and effort, and I thought that would have given us the win. We could have won it with the chance for Fabio Carvalho and then we lost.
"When we look at the game back, and we are more cool-headed, we will probably be very happy with the defensive standard. I thought there were unbelievable blocks, and recovery runs and all that we did well. On the ball, we didn't do enough."
Returning fan favourite Alonso calls Liverpool 'one of Europe's best'
Bayer Leverkusen coach Xabi Alonso hailed his former club Liverpool as "one of Europe's best" as he prepares for his Anfield return.
Alonso, who spent five successful years at Anfield and helped Liverpool win the Champions League in 2005, returns to his former stomping ground when Leverkusen take on the Reds on Tuesday.
Arne Slot has won 12 of his first 14 matches in charge of Liverpool, including all three in the Champions League so far.
Leverkusen have only won one of their 11 away major European matches in England (D3 L7), and have lost their last two visits to Anfield, and Alonso is under no illusion as to the scale of the task that awaits the reigning Bundesliga champions.
"For us, it is a big challenge," he said.
"Liverpool at the moment are one of the best, if not the best, in Europe, they are showing that in the Premier League and Champions League, a good squad, great coach. We're looking forward to it. Let's see what happens.
"You can play 70 minutes great but in 20 minutes it [the game] is gone, so it is mentally and emotionally we need to be ready.
"In all areas, they are really strong, so the process works really well. [Slot] has done a fantastic job in three months."
Alonso played 210 times across all competitions for Liverpool between 2004 and 2009, scoring 18 goals and providing 20 assists.
After winning the Champions League with the Reds in 2005, he helped them reach the final in 2007, though they lost to Milan on that occasion.
However, the Spaniard does not think he will have too much time for a trip down memory lane.
"Unfortunately, there is no time for tourism – maybe a little run or walk," he said.
"I know the city very well, I love it, but tomorrow I will focus on the game and only the game.
"It feels great to be back here after a few years. It's always special. You notice the development of the club; the new stand looks amazing.
"It is a big game against Liverpool, it cannot get much better than that."
The omens are not great for Leverkusen, though.
Liverpool have lost one of their last 21 European meetings with German opponents (W14 D6), albeit that one defeat came against Leverkusen in 2002.
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