PA Sport says Liverpool, Leeds and Brighton are battling to sign Campbell, with the trio having had bids accepted for the 16-year-old.
Campbell is yet to decide on the move with all three Premier League clubs trying to persuade him to join them.
He may remain in Scotland with Well keen to keep him and the Fir Park club have offered him a three-year deal to stay. They are likely to be able to offer Campbell a quicker route to first-team football but face a battle to keep him from the English top flight.
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