The veteran defender's current deal expires in the summer. However, his teammates want him to stay on given his influence and leadership on and off the pitch.
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A source told The Sun: “The players think it would be madness if he was not offered a new deal.
“Harry has endured plenty of ups and downs at United but has come through all that and is playing really well.
“He’s very well-respected in the dressing room and is passing on a lot of knowledge to some of the younger players like Ayden Heaven and Leny Yoro.
“Everyone likes him and respects him and the majority of the players want the club to give him a deal.”