Goal says Derby are interested in a move for Jones.
Rooney's side currently have young United centre-back Tegen Mengi on loan, but have been linked with the more experienced England international Jones, who is surplus to requirements at the club right now.
The 28-year-old will be available for £10million in the summer.
Local rivals Burnley have also been mentioned as a potential destination for Jones.
Need a VPN? Or seeking to switch? Then support Tribal Football by clicking here to sign up with our official partners NordVPN. Not only will you receive the best VPN experience, but also great discounts by signing up via Tribal Football. Thanks for your support!