Antonio Rudiger, Emerson Palmieri, Danny Drinkwater, Olivier Giroud have all been strongly linked with a move away from Stamford Bridge while recent reports have suggested that Chelsea are close to agreeing the permanent sale of Tiemoue Bakayoko for £16million.
Along with the fee Napoli are prepared to pay for Bakayoko, Chelsea could recoup around £67m in January, according to their value on Transfermarkt.
That would leave Chelsea needing to find just £13m in order to test West Ham’s resolve in January.
Rice’s potential arrival would also raise questions on the future of either Jorginho or Mateo Kovacic.