Nigeria international set for Baggies move...
The 29-year-old Nigerian international featured for the African nation at the World Cup, despite having dual Nigerian and Russian citizenship and growing up in Russia.
Odemwingie is expected to complete the move imminently, and could even be available to face Sunderland on Saturday.
Di Matteo told the Birmingham Mail: "We've agreed terms with Peter Odemwingie, and are still sorting out his visa so he's not here yet, but hopefully he'll join us ASAP.
"He's got a great CV and he's a good player. We need a few new faces and it lifts everyone when you see a player like him coming in.
"I'm pleased he is joining us because I'm sure he will be able to help us. He has got great pace, he is two-footed and has good experience at a very high level."
On his prospects of playing against this weekend, Di Matteo added: "It depends when he arrives.
"His last game was last Wednesday for Nigeria and in Russia they are already playing in the league, so he should be in good shape."
Albion are also reportedly hoping to bring in Red Bull Salzburg winger Somen Tchoyi, while they have had a bid rejected for Portsmouth defender Marc Wilson.