Xabi Alonso insists Spain are not thinking ahead to a potential semi-final clash with either Germany or Argentina.
La Roja set up a last eight clash with Paraguay on Tuesday night after overcoming Iberian rivals Portugal with a narrow 1-0 win in Cape Town.
Many are tipping the European champions to ease into the last four and book a date with either Diego Maradona's impressive Argentina or England's conquerors Germany in Durban next Wednesday.
But Real Madrid midfielder Alonso maintains the Spaniards are not getting carried away ahead of their South American test and is concerned about the attitude back home.
"We have been very patient and have been clever enough not to rush into things, we let the goal against Portugal come at the right moment, without any panicking," said the 28-year-old.
"After the goal, we had more spaces to play our game.
"We are still a long way from the semis, we definitely have to ignore the euphoria in the country and the fact that people already see us playing in the semis.
"The next match is Paraguay and this is the only thing we have to focus on."
Coach Vicente del Bosque was similarly cautious but the Spain boss believes his side are still riding the crest of a wave following their Euro 2008 triumph.
"Over the last two years we have been showing our potential," said Del Bosque, who inherited the side from Luis Aragones following their success in Austria and Switzerland.
"It is two years since we won the Euros and that was a huge boost. We continued with same approach as the previous coach and players.
"We will always continue with the lines set out two or so years ago."
Centre-back Gerard Pique believes Spain have grown into the tournament, having suffered a shocking start when they lost to Switzerland.
"I think we are playing better since tournament started," said the Barcelona defender.
"In every game we get better and against Portugal we played a really good game.
"David Villa is on fire and he scored another goal which is really good news for us.
"I think we've got so many players with a lot of quality you can then control the game and it's easier to win.
"Sometimes, like the day against Switzerland, you have chances but you can't score the goal and the opposition has one go and scores. That is football and it's why sometimes the best teams don't win."