The 32-year-old said goodbye to the Anfield crowd at the weekend after they beat Wolves in the Premier League.
Matip, who is still recovering from a knee injury, is said to have offers from top flight clubs.
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Per The Sun, Matip is wanted by Southampton and Bournemouth in the off-season.
Southampton are still not guaranteed a Premier League spot next term, as they face Leeds United in the Championship playoff final.
If they are promoted, they would put in an offer to Matip's agent, which puts Bournemouth in the driver's seat for now.