Brazil legend Cafu recently declared that the keeper will make a summer move to Real, throwing his future into doubt and suggesting Liverpool could miss out on one of their top transfer targets.
However, Alisson's agent, Ze Maria Neis, has said claims Real have an agreement to sign the Roma star are "completely false".
He told Forzaroma.info: "The fact that he already has an agreement with Real Madrid is completely false.
"I don't see how Cafu can know more than I do."
Liverpool have been linked with Alisson for several months but the speculation has increased in the wake of Loris Karius' big mistakes in the Champions League final last weekend and boss Jurgen Klopp is expected to sign a new No.1 in time for next season.
Alisson, who has been valued at £80million, is stalling over a new deal with Roma and is seen as the top target while Chelsea's Thibaut Courtois and Stoke City's Jack Butland have also been linked.