Phil Jones has been urged to leave Manchester United for Newcastle United this summer.
The 28-year-old has been limited to just eight appearances this season.
Mills told Football Insider: "Phil Jones needs to get out of there and sign for a team like Newcastle. He needs a change.
"It has never really happened for him at Manchester United. He has been there for a long time and has not really played an awful lot. A player that needs a new challenge and a reset to get it going again.
"Undoubtedly there is a good player in there but maybe it is the pressure or the media attention he gets every time he does play.
"He has not got back to the form he showed as a young kid when he first went there."