Liverpool boss Brendan Rodgers says his players will "fight right until the very end" to qualify for next season's Champions League.
Yesterday's home win against Newcastle saw the Reds move to just four points from fourth-placed Manchester City.
Liverpool however have a difficult end to the season as they play four of their last six games away from home, including a visit to leaders Chelsea on May 10.
The Citizens only have two games left away from home.
"We're going to fight right until the very end," Rodgers said.
"We were obviously on a great run and we won 10 out of 13 games, which has given us a chance. We had two disappointing results. But we're a group that is very much learning.
"We knew we had to respond to those two defeats - we got ourselves into the semi-finals of a prestigious cup competition and won tonight, which was important for us.
"There are obviously teams still above us and four points is the difference, but as we saw last year there can be a lot of changes and I still think there will be changes and points dropped in the last six games.
"For us, it's important that we can just focus on getting wins and see where it takes us. I feel that the players and I are very motivated to do the very best that we can.
"We've shown that we can put wins together consistently. It's a very hungry group that's improving and getting better. We've got important players coming back now, which is good news.
"We feel we have every chance. Of course, we're looking for other teams to slip up, but we've got to continue winning. If we can do that, we'll give ourselves a chance."