City were believed to be leading the race for Pogba's signature, but punters are confident he'll leave Juve for Stamford Bridge.
The bookmakers suggest the situation with Blues physio Eva Carneiro - who was made an example of last week - provided the perfect distraction to make a move for the Juve star.
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Michael Bowers, Football Trader for Betfair, said: “After a flood of bets on Chelsea to sign Paul Pogba, the Blues have been cut from 7/1 to 6/4 favourite.
"This market has attracted a huge amount of attention in recent weeks, with all the momentum behind Barcelona and Man City to win the race for the player’s signature.
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Chelsea backed to sign Paul Pogba this summer
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"But it looks like the Eva Carneiro saga may have simply provided the perfect smoke screen for Mourinho to bring the Juventus star into the squad completely under the radar.”