The operation, which will be presided over by the club's medical staff, is expected to sideline the duo for an estimated 10 days while they recover. The Brazil international will go under the knife in Rio de Janeiro on Friday, while teammate Alba will be operated on in Catalunya on the same day.
Both of Tito Vilanova's men came face-to-face for the Confederations Cup final on Sunday, which the Selecao emerged as comprehensive 3-0 winners courtesy of a Neymar strike in between two goals from Fred.
The former Santos star, who arrived in Camp Nou for $75 million earlier this summer, is expected to make his competitive debut for the Blaugrana in the Spanish Super Cup against Atletico Madrid on Aug. 21.
The 21-year-old's international colleague, David Luiz, is also scheduled to undergo surgery in the coming days, with the Chelsea defender set to be operated on this Thursday, having suffered a broken nose in Brazil's 2-0 victory over Mexico two weeks ago.