Adrian contract with Liverpool expires at the end of the season. Journalist David Lynch reports that the Reds have no plans to offer any more Spanish players.
It means the 37-year-old time at Anfield is coming to an end this summer. He spent five years at the club making 26 appearances.
Adrian has not played a game so far this season as he is the Reds third choice. Behind Alisson and Caomihin Kelleher.
Liverpool consider Sunderland Anthony Patterson a potential replacement and could make a move for him next summer.