Minamino’s potential switch could offer an insight as to potential outgoings on Merseyside, with Adam Lallana nearing the end of his contract.
Express Sport understands the former Southampton midfielder was keen on a return to the south coast last summer, but he ended up staying put for another 12 months.
He might, though, be pushed towards the exit door as Klopp seeks to add fresher, more dynamic options to his playing staff.
Liverpool will follow up this week’s 2-0 win over Salzburg by taking on Watford at Anfield on Saturday.
Klopp’s men are currently top by eight points having won 15 of their first 16 games of the 2019/20 campaign.
