The Turk is currently boss of Turkish champions Galatasaray, who are in the last eight of the Champions League.
Tutto Mercato report that should Andrea Stramaccioni be fired by the Italian giants, then Terim could be among the contenders for the vacancy.
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Liverpool have unveiled their new home kit for next season, sticking with the hugely popular retro styling of the current shirt.
The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.