The Reds striker, who is on £20k-per-week wages at Merseyside, had been linked with a move to Rangers earlier this summer but the deal didn’t materialise.
The 20-year-old is behind Roberto Firmino and Daniel Sturridge in the pecking order at Anfield. His temporary future at the club depends on whether Liverpool manage to offload Divock Origi.
If the Reds fail to offload Origi before Friday’s deadline, Solanke will be allowed to leave on loan.