The wing-back has stressed that the reigning European and world champions want more trophies, and feels qualifying for the 2014 World Cup will not be easy
The Barcelona defender feels La Roja are still relatively young and is confident they can go on to dominate national team football for the next few years.
"Euro 2012 was my first title, yet most of the other guys have already won plenty of silverware. We are still hungry for more, though," Jordi Alba told Mundo Deportivo.
"We have a fantastic generation, and most of the players are still young. The younger players haven't been part of the team very long yet, but we have the same desire to win as the more experienced ones."
The left-back then looked ahead to the qualification campaign for the 2014 World Cup, and stressed France as well as the other teams in their section could pose a threat for the reigning champions.
"Obviously France will be tough opponents, but the other teams are dangerous as well. We are the reigning champions, so everybody will be desperate to beat us."
Spain open their qualification campaign with an away match versus Georgia on Tuesday evening.