The Turkish international will join on loan with a view to a permanent deal.
Sahin was the best player in Germany two years ago as he helped Borussia Dortmund claimed the league title.
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The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.
Five English clubs will compete in the last sixteen of the Champions League for the first time ever as Liverpool, Manchester United, Manchester City, Chelsea and Tottenham face some difficult away matches.