Sergio Ramos has warned Barcelona and Atletico Madrid they will not give up on their Primera Liga title without a fight.
Early season defeats by Sevilla and Getafe have left Jose Mourinho's men eight points behind but a 5-0 victory at Real Mallorca indicated they are getting back to form.
Last weekend's triumph at the ONO Estadi leaves Real Madrid in fourth place but the club are in no mood to give up the title to their bitterest rivals, Barcelona or Atletico Madrid.
Ramos said: "The win against Mallorca was important. It's a tough place for us to go and get a result. We're up there and will keep on fighting.
"We are motivated by the challenge to catch up with Barcelona. We're going to fight for the league title right to the end and we expect to be in with a shout.
"Right now, there are two teams on top of their game, Barcelona and Atletico. But if we keep winning our games, we'll put them under a lot of pressure."
And midfielder Jose Callejon believes the team spirit at Real Madrid will drive them to glory.
"The dressing room is united and we all have a lot of faith in each player we have alongside us. That's the important thing, that we trust in each other," Callejon told Bwin.
"To be able to say at the end of the season that all the players have given their all on the pitch, that we have put our hearts and souls into all the games and training sessions.
"Hopefully we'll give the fans a lot to celebrate and win titles."