The ex-goalkeeper was part of the team that lifted the trophy in 1992, and claims the weight of expectancy attached to that success was higher because they had not won it before
A Ronald Koeman free kick in extra-time against Sampdoria allowed the Catalan giants to lift the prestigious trophy almost two decades ago, and Barca have since gone on to win again in 2006 and 2009.
Speaking to the club's official website ahead of this weekend's Champions League final against Manchester United, at the scene of their first victory, Zubizarreta said: "Since we got here [London], I’ve been looking for little signs that will make me think we will win like we did in 1992.
"In 1992, we had the opportunity to win the club’s first-ever European Cup and there was some nervousness about that. This team has less historical expectation on their shoulders than we did, though I don’t think that means they will be going into the game with any less desire.
"You have to treat each game with the particular circumstances surrounding it and right now we have a final against a great team ahead of us."
The former goalkeeper also discussed the problems that the Barcelona fans are encountering in their attempts to travel to London due to the Icelandic ash cloud, and hopes that its disturbance to air traffic does not prohibit the fans from making the trip.
He added: "I know it’s not easy, but let’s hope we can all be there for the final. Football is for the fans and a club is nothing without them. I want the fans to know that we need them and I hope that they can get here as easily as possible."