Jones, who returned to action last season, has yet to feature under Ten Hag following his appointment.
And it appears he won't be getting a minutes on the pitch any time soon, having been 'kicked out' of the club's dressing room at Carrington, according to widespread reports.
Man United's first-team training base at Carrington is designed to accommodate no more than 24 players.
It's at maximum capacity following the signings of the likes of Antony, Lisandro Martinez and Christian Eriksen this summer.
In order to accommodate the new players, Ten Hag has axed Jones from Man United's training ground dressing room.
Brandon Williams, Teden Mengi and Axel Tuanzebe have also been relegated to the under-23 changing room.
The summer arrivals of Casemiro, Tyrell Malacia, Martin Dubravka and the aforementioned Antony, Martinez and Eriksen have squeezed space at Carrington.
It comes as a blow to Jones and seems to indicate where his future lies at Old Trafford.
The 30-year-old made his first appearance for Man United in nearly two years when he played in a 1-0 defeat to Wolves in January.
Jones, who cost Man United £16.5 million from Blackburn Rovers in 2011, has barely featured in the last few years having been severely blighted with a series of injury problems.
Under Ten Hag, he's way down the pecking order with the Dutchman boasting Martinez, Raphael Varane, Victor Lindelof and Harry Maguire in his ranks.
Jones was linked with a move away from the club, with the likes of DC United and Burnley thought to be interested in acquiring his services.
But a transfer failed to materailse as the player remains on Man United's books.
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