The Jamaican sprinter said he can improve on his record times of 9.58sec in the 100 metres and 19.19 in the 200m.

Bolt said: "I think I can go faster, but I leave that up to my coach.

"We analyse each race.

"We try to go through the season without risking getting injured.

"We see what we can do to go further and achieve great things in sport."

Bolt was in the Spanish capital to attend Real Madrid's opening match of the season.

He said he has become a fan of the team since striker Ruud van Nistelrooy moved there  three years ago.

Bolt said: "Manchester United was my favourite team when I started to watch football because he was there.

"I became a Real Madrid fan because I follow Ruud van Nistelrooy wherever he goes."

Bolt said he felt nervous in front of 80,000 fans just before the season's opening match against Deportivo La Coruna, which Madrid won 3-2.

He said the experience was "priceless."

While at the Bernabeu, the sprinter met Madrid great Alfredo di Stefano, whom he shook hands with and greeted in Spanish as "Mister Campeon" — Mr. Champion.

He also met and present Real Madrid's Director Jorge Valdano with a signed shirt (pictured)

Bolt said: "I remember I saw Cristiano Ronaldo's presentation [after his transfer from Manchester United] and thought it was amazing.

"It was the same for me yesterday.

"It was overwhelming, but I enjoyed it very much.

"It was beautiful."

Bolt said he gave Ronaldo some advice on how to run faster when he first met him two years ago.

He said: "Normally, when he gets up speed he leans his body forward.

"I told him what to do to run longer and go faster."

However, the sprinter said he felt he could still outrun Ronaldo over 100m — even while running with a ball at his feet.

Bolt said: "Definitely, I think I can do that.

"I don't think Cristiano can beat me.

"I'm the fastest man in the world, so I can do that."

Bolt, who is expected to travel to London on Monday, was set to watch a bullfight in the Madrid suburb of San Sebastian de los Reyes.