West Ham manager Slaven Bilic is keen to add more width to his side and Victor Moses has been identified as a perfect candidate.
Moses has spent most of his Chelsea career away on loan to Liverpool and Stoke.
The Nigerian international completed his Chelsea transfer from Wigan a few years ago and has never been in the first team setup at Stamford Bridge.
Jose Mourinho is keen to get the player off his books and will consider a loan move again.
The Mail report states that Chelsea are speaking to West Ham about a permanent deal, after an initial loan spell.
The Blues are looking to loan Moses with a view to a permanent move of 6 million pounds in the near future.
Moses scored 4 goals for Stoke last season and Bilic will be hoping that the former Wigan star can help his side going forward.
After an impressive start to the season away to Arsenal, West Ham have lost two consecutive fixtures against Bournemouth and Leicester City.
Meanwhile, Chelsea are also looking to sign Everton defender, John Stones and Juventus midfielder, Paul Pogba.