The Daily Express is reporting that the Merseyside outfit are keeping tabs on the 26-year-old full-back but face competition from the Premier League leaders.
According to the same story, Ghoulam is set to be available on a free transfer next summer after failing to agree a new contract with the Serie A title contenders.
The Algeria international’s super agent Jorge Mendes wants Napoli to include a £30m contract release clause but the Italian club are unwilling to meet their demands.
Ghoulam has scored two goals and has made three assists in seven appearances in Serie A so far this season.
The Merseyside outfit were linked with a move to sign the Algerian defender in the summer transfer window but a deal failed to materialise.
Liverpool have struggled to address their weakness at left-back under Jurgen Klopp and versatile midfielder James Milner played in the full-back role last season.
The Reds signed Hull City defender Andy Robertson in the summer transfer window but the £8m signing has found himself behind erratic Alberto Moreno in the pecking order.
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