The Croatian midfielder has yet to experience a domestic title triumph with the Spanish giants and he confirms that asserting dominance in La Liga is his side's priority.
Luka Modric is desperate to end Real Madrid's domestic title drought after four years without glory in La Liga.
Los Blancos last won the top flight in 2011-12, when they collected 100 points to stay clear of second-placed Barcelona.
Since then, however, the Catalan giants have won three titles and Atletico Madrid the other, meaning that some of Madrid's biggest stars are yet to experience triumph in the Primera Division.
"I have not won the league yet and hopefully this is the year," Modric told reporters.
"You can say that it is our priority because, for a club like Real Madrid to go four years without winning, it is too long. That does not mean we do not want to win the Champions League, Copa del Rey and everything that we play in."
"This may be the best squad I have ever played in. We have a lot of quality and each position is covered by two or three players. It is an impressive squad."
Modric remains unavailable due to a knee injury but he is optimistic about his recovery, insisting: "I feel good. Every day I feel better. I am working a lot and hard to get back as soon as possible."
"I take each day as it comes and hope to return soon. I feel better but I cannot say when I will be available again. It is a compliment that they say that my absence from the team has been noted but I prefer that others say things like that. It gives me confidence to work harder.
"I am not worried about my injury. When I analyse every injury, I see that I came back stronger. What I have been through are things that can happen in football "
"I feel good, I take care of myself a lot, and I am not worried about getting older. I feel good. There may be people who think I am old at 31 years of age but I feel very good and I think I am playing some of the best football of my life at this age."