While the 28-year-old insists he is "happy" at the Turkish club - where he has just won the Super Lig title - he has also expressed a long-held desire to play in the Premier League.
"There is a lot of talk. I'm happy at Fenerbahce and don't think about leaving," said Sow.
"However, everyone knows I want to play in the Premier League one day."
But The Journal says Sow's Fener deal carries a £13.8 million buyout clause.
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