Alonso is currently away with Spain on Euro 2008 duty preparing for Sunday's quarter-final against Italy and could face a number of his future team-mates when the two nations lock horns in Vienna.
The 26-year-old has maintained a diplomatic silence on his future but could make his intentions clear when this summer's showpiece event is over.
"I have little to say about Juve because at the moment I am very focused on Euro 2008 and on Spain," he said.
"We'll see what will happen with Juve. It's difficult to say.
"I've spent four fantastic years at Liverpool, but I have to admit that I have always been fascinated by Italian football.
"However, it's too soon to talk about the future. In short - we'll see."
Alonso added: "Juve are one of the biggest teams in Europe, perhaps the biggest in Italy. They have many fans, not only in Italy, but all over the world.
"They're a team who want to get back to winning the Scudetto and who also want to compete in the Champions League."