Arsenal and Tottenham have been keeping a close eye on Jones but look set to be disappointed as the 26-year-old is due to be out of contract next summer but Manchester United don’t want him to leave for nothing.
He cost them £15m in 2011 when they brought him to Manchester United from Blackburn.
Jones has had a mixed spell, with injuries robbing him of the chance to nail down a regular starting spot.
But The Sun on Sunday say Manchester United still plan to keep hold of the England international until at least the end of next season.
Jones is unlikely to start for his club today in their derby clash at Manchester City.
Chris Smalling and Victor Lindelof impressed in the midweek Champions League win over Juventus and could get the nod again.
Eric Bailly and Marcos Rojo are other centre-back options available to Mourinho.
Guardiola’s champions face another stern test of their unbeaten record when their near neighbours arrive at the Etihad.
Free-scoring City are favourites for the game, but Mourinho’s United proved last season that they can pull off a surprise success on enemy territory.
While City have been winning in style – hitting 23 goals in their last six games in all competitions – United have been scraping narrow victories and relying on late goals.
The long-standing rivalry between the two coaches should make for an intriguing tactical battle, as well as adding extra spice on the touchline.