Fernando Torres believes Spain have the right temperament to go all the way in Germany.
Luis Aragones' side came from a goal down to clinch a 3-1 win over Tunisia on Monday, thanks to three strikes in the final 18 minutes.
The result sees them through to the knockout stages of the World Cup with a game still to play in Group H.
And there is now a growing belief in the Spain squad that they have the mental toughness, as well as the talent, to win the tournament.
"It has been more difficult than we expected," said Torres, who scored twice in the victory.
"After our 4-0 triumph against Ukraine in our opener, we really thought that everything was done.
"We are slowly gaining confidence in our football. Some days we play well and other days we are made to suffer but the important thing is we now know that if we work as a team, as we did against Tunisia, we can overcome anything."
The Atletico Madrid forward places little significance on being the current leading scorer in the competition, with three goals bagged so far in the tournament.
"I only hope that my goals can take Spain as far as possible in this competition," he said. "This has been my aim ever since I arrived in Germany and I hope to achieve it.
"In order to be the top scorer in the World Cup, you have to progress to the last rounds of the tournament."
Liverpool midfielder Xabi Alonso feels his side can only get better.
"Our patience has been tested," he said. "But this is good for us and gives us optimism for the future.
"This victory will give a real boost to our morale. It will make us stronger."
His club colleague Luis Garcia was unhappy after he was replaced at half-time by Raul.
The substitution did, however, prove crucial as the replacement struck the equaliser to spark Spain's comeback.
"No-one likes to be substituted and at that moment you feel angry," said Garcia.
"But it's all for the good of the team and as long as we win, that's all that counts."
Spain take on Saudi Arabia on Friday in their last Group H game.
Meanwhile, Tunisia midfielder Hamed Namouchi is confident his team will return a stronger force after the defeat.
"I don't think the score reflects what we did on the pitch," the Rangers player said after seeing Tunisia take an eighth-minute lead. "We played well and we certainly made Spain sweat for most of the game.
"Perhaps we lost some focus in the second half."
"I think the referee was harsh with us, particularly in the second half. But then we know that they tend to show favouritism for the bigger teams."