It is gathered that Klopp is interested in Osimhen who has already scored 13 goals in all competitions for Lille so far this season.
Osimhen only joined Lille in July after Cote d’Ivoire winger Nicolas Pepe was sold to Arsenal.
Following his impressive performance for Lille he was named Ligue 1 Player of the Month in October.
During his loan spell at Belgian club Charleroi from Wolfsburg he scored 20 goals.
Klopp is looking to bolster his striking options especially as Mohamed Salah isn’t as deadly in front of goal as he was two seasons ago.
Salah, who has been linked with Real Madrid, scored 44 goals in his first season at Anfield then 27 in all competitions last season and has managed 13 so far in this campaign.
Aside from Liverpool, several Premier League clubs have shown interest in Osimhen.
Lille accept that it is only a matter of time before they will be forced to cash in on Osimhen but would like to keep him until the summer.
It is understood Lille will not consider bids for the 20-year-old in January.
Osimhen is under contract for another four-and-a-half years having penned a five-year deal when he joined.
Thanks to his goals, Lille are fourth in the Ligue 1 table, 14 points off of league leaders Paris Saint-Germain having played one more game.
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