But Clarets manager Dyche insists the club are not under pressure to cash in on Keane and will allow the 24-year-old to run down his contract.
Dyche, preparing for United’s visit tomorrow, said: “We’re in a great position if that came around.
“We’re in a stronger position now — that’s where the club has changed.
“It would have to be appropriate for all parties — and all parties are in the loop.”
Everton and Liverpool are also tracking the centre-back.
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But Dyche insists the speculation over Keane is no distraction as his side aim for a second successive season in the top flight for the first time since the 70s.
He added: “It’s a natural part of the club’s continuing progress.
“It’s good in one way to have your players linked and getting recognised by, usually, bigger clubs.”
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