Solanke is a highly exciting young striker but he is behind Roberto Firmino and Daniel Sturridge in the pecking order at the Merseyside club.
The Reds are reportedly looking to send him on loan, and there are potential takers interested to have him in their squad.
The Hammers have the likes of Javier Hernandez and Andy Carroll on their ranks along with Marko Arnautovic, but Manuel Pellegrini is still looking to add depth in the attacking line-up.
Crystal Palace, on the other hand, badly need a striker in the January window. Roy Hodgson needs to sign a striker who can ease the goalscoring burden of Wilfried Zaha.
Solanke needs to leave Liverpool to get some games under his belt, and a loan move will suit all parties involved.