The Nigeria star was due to be in action for his country against Saudi Arabia and Mozambique in the Algarve over the past week.
Osimhen featured for an hour against the Saudi’s before succumbing to a hamstring injury in front of one of Klopp’s trusted scouts, according to The Sun.
Osimhen’s goals powered Napoli to a rare Scudetto triumph last season but he was left crestfallen and disheartened after he was mocked by his own club on social media following a penalty miss earlier this month.
Napoli will be reluctant to sell a player they value at £100m, but Liverpool are already making contingency plans ahead of an anticipated renewed effort from Saudi Pro League clubs to sign Mohamed Salah.
Liverpool already boast a wealth of attacking options and it is only just over a year since they invested over £80m on Darwin Nunez.
The Uruguay international has shown glimpses of potential during his Anfield career to date and has earned cult hero status as a result of his energetic and, at times, erratic style.
Nunez has scored five goals in all competitions so far this season and was also on target for Uruguay in their historic win over Brazil earlier this week.
The 24-year-old, however, is regarded as very much a work in progress with former Liverpool striker Michael Owen claiming he requires ‘a lot of coaching’ after a wayward performance against Union St Gilloise earlier this month.
Speaking on TNT Sports, Owen said: ‘It’s either lack of confidence, or lack of ability or not concentrating but in theory in professional football most people should be able to finish that.
‘Nothing he does surprises me really and I mean he does some great things and then some awful things, he’s got so many gaps in his game, and I think he’s got the raw material of being a top player but he needs a lot of coaching and maybe a bit more experience.
Chelsea, meanwhile, are also keeping tabs on Osimhen’s situation given their own problems in front of goal.
Summer signing Christopher Nkunku is likely to be out with a knee injury until January, leaving Mauricio Pochettino reliant on Nicolas Jackson and Armando Broja, who has only recently returned from a long-term lay-off.
