Liverpool forward Dirk Kuyt believes a Champions League qualifying place is still within reach.
The Reds have climbed to sixth in the Barclays Premier League after embarking on a six-game unbeaten run under caretaker manager Kenny Dalglish.
They remain eight points behind fourth-placed Tottenham but the Londoners' loss at Blackpool in midweek and Liverpool's improving form has kept hope of a late charge alive.
Kuyt said: "I think in the league this season, where so many teams are dropping points, a lot of things are possible."
He added: "But we have to look to ourselves - we are unbeaten for a while now, let's have another three points on Sunday and then let's see where we are in five or six games.
"If we can close the gap a little bit more, who knows what is possible? It is always good when you see your rivals dropping points, but at the end of the day you have to bring the points in yourself.
"That is why the team was disappointed with the draw against Wigan, but now another game is coming up against West Ham and hopefully it will be another away win."
Liverpool will travel to Upton Park on Sunday fresh from securing a place in the last 16 of the Europa League on Thursday night. Kuyt claimed the only goal of a testing and scrappy tie against Sparta Prague when he headed home with just five minutes of the second leg remaining at Anfield.
Holland international Kuyt, 30, said: "It was a relief, but I thought we created enough chances to score a goal - we just waited too long.
"In the first half we created three good opportunities and the second half was the same, but I am very happy with another European goal. That is a great feeling. We worked hard to go through to the next round.
"It was a difficult game but we tried hard and created a few more chances than last week. But at the end of the day, it is the winning that counts."
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