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That’s according to journalist Manuel Veth who believes the former Juventus midfielder could move to Stamford Bridge in the summer.
Goretzka is widely expected to leave Schalke for Bayern in the same window which could lead to the Blues swoop.
Chelsea boss Conte previously worked with Chile international Vidal when he was in charge at Juventus.
Veth believes the duo will link up once more when Goretzka completes his transfer.
“Sense has been for quite some time that Bayern had nailed down Goretzka,” he wrote on Twitter.
How Chelsea could line-up with Arturo Vidal
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“From what I understand it is likely the Chilean will be re-united with Conte next summer”
Journalist Manuel Veth
“We will likely find out as early as tomorrow if the deal has in fact gone through.
“Goretzka to Bayern would also explain Arturo Vidal's link to Chelsea.
“From what I understand it is likely the Chilean will be re-united with Conte next summer if/when the Goretzka deal goes through.”
Chelsea will look to keep their good form going when they take on Arsenal tomorrow at the Emirates.
Conte’s side are currently 14 points behind leaders Manchester City though.