The 33-year-old is fully fit and available to coach Xabi Alonso.
However, Xabi sees the veteran as only cover for his first-choice players, and Alaba has been told playing chances will be limited this season.
Indeed, given Alaba is among the club's highest-paid players, management would be happier to see him move on, given Xabi views him only as a backup.
The veteran defender's contract at Real Madrid has less than a year to run.