The England Under-21 international has attracted the interest of a number of clubs in recent times - with Crystal Palace, Leicester City, Portsmouth, Tottenham Hotspur and Cardiff City all taking a liking to the midfielder.
However, it is The Hammers who have landed the highly-rated Reo-Coker by agreeing personal terms with the Upton Park outfit and the player will undergo a medical at his new club on Wednesday.
Reo-Coker's agent Tony Finnigan stated that his client was keen to join Alan Pardew's side.
"We have agreed personal terms, and he will put pen to paper tomorrow (Wednesday)," said Finnigan.
"Once West Ham came in, there was only one place he was going to go.
"The nice thing for Hammers fans is that he really wants to wear the shirt."
Meanwhile, Dons striker Adam Nowland is also expected to sign for West Ham this week after a fee was agreed between The Hammers and Wimbledon's administrators.
