Young midfielder Diego Poyet is unlikely to leave due to an extended fixture list.
Reports this week had claimed that Championship side Huddersfield were considering a loan move for the midfielder after he spent time at the club earlier in the season.
However, it seems the Hammers would be unwilling to let him leave on loan given the number of games they currently have to contend with in the New Year.
"I think with the squad that we've got I don't think anybody will be leaving,” Talksport quotes assistant manager Neil McDonald as saying.
"I think we need everybody's hands on board with the games coming thick and fast and if we progress in the FA Cup, which we are hoping to do, we will need everybody here to rotate the squad."
West Ham’s fixture list has become even more congested, as they now have to contend with an FA Cup replay against Everton following the draw at Goodison Park earlier this week.
The side also has to deal with losing players to the African Cup of Nations, although they were boosted by the news that Alex Song has retired from international football and will be returning to their squad.
However, one player who could be leaving is midfielder Ravel Morrison, who is back at the club after his loan spell at Cardiff City was cut short last month.
McDonald said: "I'm not sure whether he [Ravel] will be leaving but he won't come back into the squad."