The 25-year-old Bayern Munich midfielder has not ruled out making a move to England during the mid-season break.
Several other media, including Bild newspaper and Kicker magazine, citing unnamed sources, also said a deal could be finalised in the coming days.
Germany's football association (DFB) is eager to extend the contract of national team coach Joachim Loew past the 2018 World Cup, DFB president Reinhard Grindel said on Monday. Loew, who has been in charge since 2006, coached Germany to the 2014 World Cup title and to a total of five straight semi-final appearances at World Cups and Euros, with his current deal running to 2018 and the World Cup in Russia. The 56-year-old, in charge for 138 matches so far, saw his team fail to win Euro 2016 after losing in the semi-final stage to hosts France in July but after hesitating a few days eventually said he would stay on as Germany coach to 2018.
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Bayern Munich go into their Champions League last-16 second leg at home to Shakhtar Donetsk on Wednesday knowing the game will make or break their season.
Pep Guardiola hailed Sergio Aguero's 'unique' skill of sniffing out chances in front of goal, and David Silva's ability to ghost past defenders
Michel Platini has accused FIFA president Sepp Blatter of attacking European soccer while defending UEFA's decision to stage Euro 2020 across the continent and its right to question FIFA's reform process.
The former German ace accused FIFA of being interested in making money from ticketing and hospitality.
The German goalkeeper remains hopeful of playing at the 2006 World Cup, despite the loss of his place at Arsenal to Manuel Almunia.
France winger Franck Ribery is ending his career with the national team to focus on his family, the winger, who missed the 2014 World Cup through injury, said on Wednesday.
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