The winger has not convinced enough to earn a permanent move to West Ham.
The winger joined on a season long loan from the Blues in the summer transfer window as Slaven Bilic added some much needed wide players to his squad.
And it seems West Ham have not been convinced, with them unlikely to extend his loan or make the move a permanent one.
Slaven Bilic has made a pacey winger one of his transfer targets for the summer according to to the Telegraph report, but it seems that man will not be Moses.
Who they do target remains to be seen, with this transfer window looking likely to be one of the biggest for them in recent years.
They are keen to build upon their impressive first season under the Croatian in which a Champions League is still up for grabs.
Top of the list seems to be a striker, as a number of forwards across Europe have already been linked with a move.