Baggies are said to be holding out for a fee of £2m for the Nigerian.
West Bromwich Albion have turned down a bid of £850,000 from Al Nasr for unsettled front man Peter Odemwingie, says the Daily Express.
The controversial Nigeria international has been deemed surplus to requirements by Baggies head coach Steve Clarke, with the 32-year-old having been made to train with the reserves ever since he attempted to force through a move to Queens Park Rangers on the final day of the January transfer window.
However, it is understood that the Midlands side value their player at £2 million and will not sell for anything less, despite both parties being keen to end their relationship as soon as possible.
Odemwingie has been at the Hawthorns for the past three seasons now, having originally arrived at the club from Russian outfit Lokomotiv Moscow on an initial two-year deal for an undisclosed fee in August 2010.
And the striker enjoyed a fruitful first two seasons at West Brom, finding the back of the net on 26 occasions overall in 64 matches in all competitions, but the previous campaign proved not so successful for the Nigerian, who scored just five times in his 25 matches as the fallout from his attempted move to QPR ultimately brought about a premature end to his campaign.