Arne Slot hopes Liverpool can carry the momentum from their 2-0 win over Fulham into next week's rematch with Paris Saint-Germain, but he knows one victory is not enough to completely change the mood at Anfield.
Liverpool approached Saturday's game in dismal form, having been dumped out of the FA Cup by Manchester City before losing 2-0 to PSG in the first leg of their Champions League quarter-final tie.
The Reds were also winless in their previous three Premier League matches, but first-half goals from Rio Ngumoha and Mohamed Salah clinched a much-needed victory.
It was their first home win without conceding in the Premier League since defeating Brighton 2-0 in December, and it lifted them four points clear of Chelsea in the battle for a top-five finish, albeit with the Blues still yet to play this weekend.
Asked about the mood in Liverpool's dressing room, Slot told Sky Sports: "It's a better place than it was two or three days ago, or a week ago.
"But it's also not that after we win, everything is good again. We know there is still a lot to play for.
"Everybody can understand after these two losses, 4-0 and 2-0 – and the 2-0 felt like more than 2-0 – to come out today and beat Fulham after only two days of rest, that shows the mentality of the team.
"We've played many games like this this season but unfortunately that didn't always lead to a win or a clean sheet.
"I think we deserved to win but it wasn't as if we completely dominated the game. But we've played many of these games where a deflected shot or a set-piece led to us conceding and it ended up in a draw or a loss. I wouldn't say we had luck, but at last there was some justice to how the game went."
Now, Liverpool's focus turns back to Europe. Before this season, there have been 17 occasions of a team being eliminated from a Champions League knockout tie after winning the first leg by two or more goals, and PSG have been on the wrong end of this more than any other club (three times).
The Opta supercomputer only assigns Liverpool a 15% chance of turning the tie around to reach the semi-finals, though, and Slot knows they have little margin for error.
"I was really happy with the clean sheet. That's what you need in almost every game. We will definitely need that on Tuesday," he added.
"It's a big step going into the week, not only for PSG but also Everton at the end of the week. There are only two days of rest.
"The fans will be behind us, and the players will give everything to turn things around. I can tell you we are up for it, we're ready for it, and Anfield will be ready for it."
For Fulham, meanwhile, the result represented a dent to their European hopes and left them eight points adrift of the top five, and Marco Silva was disappointed that his team missed several chances to cut Liverpool's lead in the second half.
"The statistics of the game were balanced in terms of shots, chances, it was very balanced," he told BBC Match of the Day. "We had chances that we didn't score. We were not ruthless enough.
"We were too passive in moments, for both goals. These moments made an impact and we were punished for our first half. We were not at the level we should have been."