However, Jones believes that, with he, Smalling and Jonny Evans in the squad, the Red Devils' backline is already in good shape.
Jones told reporters: "I've played with Chris for three or four years in the England Under-21s and also United, and we have a really good understanding.
"We complement each other well and when you look at other central-defender partnerships and how they grow and build, they get better by playing together.
"You make mistakes along the way, everyone does, but the more you play together and understand each other the better the partnership gets. Hopefully that can happen and hopefully we have shown the manager that we are ready for the challenge."
United have kept 12 clean sheets in 33 Premier League games this season.