Matip's deal expires in June as he recovers from knee surgery.
Sabah says the experienced defender has been offered to Fenerbahce via agents.
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Fenerbahce are interested in Matip - but the final decision on signing the centre-back has not yet been made by head coach Ismail Kartal.
Recently, SportsZone reported that Matip prefers to stay at Liverpool - who, however, are reported to be looking for replacements at centre-back.