The Reds could lose out on a fee with the player's contract set to expire in the summer.
The forward is keen on an exit from Anfield having struggled to break into the first team set up.
His current deal is set to expire in the summer, and so far he has refused to sign a new deal to extend his stay at the club.
Several sides were thought to be keen on securing him as a result, with Liverpool asking for £3million for his services.
That is set to potentially leave them out of pocket in the summer; with it being he could instead head abroad, a move that would see the Reds only pick up a small compensation fee for him.
The striker now finds himself in limbo unless Liverpool change their mind before the close of the January transfer window.
He may find first team opportunities more frequent in the coming months, with Jurgen Klopp having used him in the recent draw with West Ham United and likely to try and persuade him to extend his stay on Merseyside.