Robben, 28, has been linked with a move away from the Bundesliga, with the player himself forced to comment on reports he would join Serie A leaders the Bianconeri.
But Bayern chairman Karl-Heinz Rummenigge said no big names would leave the Allianz-Arena at the end of the season.
"I can guarantee that no stars will leave," Rummenigge told Bild.
"Robben is about to sign a new contract. He will stay at Bayern for some time to come."
The former Chelsea and Real Madrid winger’s current deal expires at the end of next season, with his new contract set to run for two more years.