Besiktas are also paying 50 per cent of Karius' wages and have the option to turn the loan into a permanent deal.
The German keeper is now on loan at Turkish side Besiktas but he could be about to return to Anfield just three months into a two-year deal.
Karius moved to Istanbul in August, with the signing of Alisson from AS Roma ending his hopes of remaining No. 1 at Anfield after his disastrous end to last season.
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The Turkish club are unhappy with the netminder who has made nine starts for the club, six in the league and three in the Europa League, according to Turkish outlet Fotomac.
Karius has made 10 appearances for his loan club so far this season, but has kept just one clean sheet-that coming in a 2-0 win over Kayserispor in September. The 23-year-old Belgian striker signed for Liverpool in 2014 and has been out on loan at Wolfsburg and Lille since his move.
According to Turkish website, Fotomac Besiktas are looking to offload Karius back to Liverpool, in exchange for striker Divock Origi which would certainly be one of the most freaky deals in recent history.
This jarred, therefore, with reports from Fotomac claiming they were looking to "make an offer to Liverpool" to end his loan spell after just two months.