The 28-year-old is set to leave the San Siro outfit in the current transfer window after failing to a agree a new deal which would see the playmaker take a pay cut.
Turkish outfit Galatasaray had been favourites to sign Sneijder before Liverpool emerged as a possible destination on Sunday.
Sneijder has not featured for Andrea Stramaccioni’s side since September, and Moratti is keen to see the former Real Madrid star’s future resolved as soon as possible.
“It would be professional if he would make his decision by the end of the day,” Moratti told Gazzetto dello Sport.
On Saturday, Galatasaray posted a statement on their website which appeared to suggest a €10m (£8.3m) deal was close to being completed for Sneijder.
It read: “The transfer of Wesley Sneijder has been agreed between Inter and the club, and negotiations are ongoing with the player.”