Grosskreutz is having a torrid time of things in Turkey with Galatasaray, where he is yet to feature since making a move during the summer.
The 27-year-old is yet to play for the Super Lig giants following an administrative error preventing him taking from the field, and with the January transfer window looming, it remains to be seen if he will ever take to the field for the Istanbul heavyweights.
However, Klopp appears keen to liberate the wideman from his troubles in Turkey, according to the Mirror, who report that the German coach wants the versatile international in January.
Klopp signed Grosskreutz at Dortmund, and the two men won a pair of Bundesliga titles together and also reached the Champions League final. The player was also part of Germany’s World Cup-winning squad in 2014.
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However, Liverpool are not alone in eyeing the international, with Turkish source Milliyet reporting that ambitious Hannover are plotting to bring winger back to Germany.