The 23-year-old has been linked with a move to the Italian champions.
“It’s very pleasing, but it’s too early,” agent Marcelo Lombilla told FcInter1908.it.
Gago came close to joining Manchester City in the January transfer window.
It is expected City will launch a new bid for the former Boca Juniors star in the summer.
“Gago stayed put at Real in January for a bunch of reasons I am not going to name,” explained Lombilla.
“Have other teams made contact with me? I won’t answer that out of respect for Real, because the lad plays there and is only focused on doing well there for the time being.
“But it is always important for a player’s morale to have suitors in big leagues. There are clubs both in Italy and England who could suit our needs…”