Real are still competing for the Champions League and the Copa del Rey although they are 16 points behind Barcelona in La Liga.
Ronaldo admitted that the league would be hard to win but said that Real will continue to battle until they can no longer retain their crown.
"The truth is that in the league we haven't been doing so well, but I think the team has been doing better recently," Ronaldo told the club's official website.
"We are still competing in the Champions League and in the Spanish Cup.
"We are a bit far behind the top teams in the league, but we still have a chance, maybe a bit less in the league, but in the two other competitions, and we'll keep on fighting to win."
Real's next match is a league fixture against Sevilla on Saturday.