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Sky Sports Germany claim that the Bundesliga club had initially slapped a hefty €100 million (£83m) price tag on the winger, but they're now thought to be mulling over a reduced fee of around €60m (£50m) to €70m (£58m).
Gittens has been a revelation for Dortmund this season.
"Jamie was excellent when he came off the bench and saved us by scoring a couple of goals," he said after Dortmund's 3-0 win against Club Brugge in September.
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