According to The Times, West Ham are in pole position to bring in the 32-year-old striker.
The West Brom striker was rumoured to be on the verge of moves to Crystal Palace and Fulham but both fell through.
Now Sam Allardyce see’s the opportunity to bring in a partner alongside Andy Carroll.
West Ham, who, recently failed to agree terms with the former Chelsea striker Kalou as he demanded a starting role in the attack, have now made Odemwingie their main target and are confident of bringing the Nigerian in.