The Blaugrana do not want their recent arrival from Valencia to compete in the Games as they fear running the risk of burnout given the full-back's participation in Euro 2012
Coach Luis Milla has named the attacking left-back in his provisional squad for the games in London but the Catalans are reluctant to release their new signing given he only arrived at Camp Nou earlier in July after playing a key role in La Roja's Euro 2012 success.
Adrian, though, is hoping that Barca will back down as he feels that Alba is integral to their hopes of winning gold.
"Barcelona are looking after their own interests but it is an issue that must be resolved with the [Spanish Football] Federation," the Atletico Madrid forward told reporters.
"It would be very important for him to be with us. He is a great player, as he demonstrated in the European Championship."
Spain are under pressure to underline their dominance of the global game by triumphing in London but Adrian is quick to point out that they will face great competition for the title.
"Brazil, Uruguay, Mexico, Britain and us - they are the five strongest sides," he mused. "But there are other national teams that could cause a surprise. Today, anyone can beat you.
"We have our own responsibility, though, because we are European champions and we should try to get as far as possible.
"But we will go game by game, knowing that every match is a final. Each squad is very good and if you relax, you're out."
Spain have been drawn in Group D alongside Morocco, Japan and Honduras.