The 22-year-old saw his World Cup campaign with Brazil ended at the quarter-final stage by a clumsy challenge from Colombia's Juan Camilo Zuniga, leaving the forward with a fractured vertebra.
Having sent medical representatives to visit Neymar at his Brazil home, the Primera Division giants confirmed that his recovery is on track and that they agreed with the Brazilian FA (CBF) on his proposed treatment.
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"The CBF and Barca's medical services are in agreement on the type of treatment the player will undergo in his recovery process.
"The player is recovering well and he'll continue his recovery in Barcelona starting on August 5."
Brazil's team doctor, Rodrigo Lasmar, immediately ruled Neymar out of the tournament and claimed that the injury could take anywhere up to six weeks to heal.
Such a lay-off would put the attacker in serious doubt for the start of the Spaish season, which is due to commence on August 23.
With their key performer out of action, Brazil's hopes were dashed by Germany in the next round in a humiliating 7-1 defeat. Neymar had been in fine form at the World cup prior to his injury - scoring four goals in five appearances.