The left-back's participation at the Games had been in doubt because of his new club's reluctance to run the risk of burnout in light of his involvement in Euro 2012
The Blaugrana had been reluctant to release their new signing for the Games given that he made a belated arrival at Camp Nou following his exploits at Euro 2012.
However, the Catalans ultimately backed down and Alba is now looking forward to competing in London.
"My dream was always to come [to the Games]," the 23-year-old told reporters after Wednesday's 1-0 warm-up win over Mexico. "I had spoken with [coach Luis] Milla about it when I was still at Valencia."
Versatile Athletic Bilbao defender Javi Martinez was also involved in Spain's triumph in Poland and Ukraine but he is confident that fatigue will not be problem for neither him nor Alba in the coming weeks.
"It really has been a very demanding season for everyone, but I had 12 days to rest and I am slowly getting back to my best," he explained. "We're all going to arrive at the Games in perfect condition."
Consequently, Javi Martinez is optimistic about Spain's chances of continuing their remarkable run of tournament victories in London.
"The Olympics have nothing to do with the Euros, but we must try to continue the positive momentum," he added. "We've got the Euros and now we're going for the Games!"
Spain kick off their bid for gold against Japan at Hampden Park in Glasgow on July 26.