The news will come as a surprise to many, considering the Nigerian is looking to force through a move to relegation threatened Queens Park Rangers.
Harry Redknapp is set to come back with an improved bid of £3 million for the forward, who has reportedly grown frustrated at being deployed out wide for Steve Clarke’s side.
Odemwingie has 18 months to run on his current deal at The Hawthorns, and is hoping he can force a move to Loftus Road by deadline day.
However, the Baggies are adamant they do not need to sell, and have flat out refused the forwards transfer request.
Albion sporting and technical director Richard Garlick said: “We have no need to sell our core players. We want to keep our squad intact.”
West Brom have been this season’s surprise package, and until a recent dip in form, have been pushing for the European places.
Previously the main man at the Hawthorns, Odemwingie has struggled to fill his preferred central striker role, with Romelu Lukaku and Shane Long often selected ahead of him.
Redknapp will look to tempt West Brom into cashing in on a player who is deemed unhappy, and may wait until the deadline day to make his move.