New signing Yassine El Ghanassy has been included in West Brom manager Steve Clarke's 25-man squad for the two-game tour of Scandinavia.
Belgium winger El Ghanassy joined the Baggies five days ago on a season-long loan from AA Gent, and will be keen to make an impression.
Meanwhile, Albion have been forced to deny reports of a bust-up between Odemwingie and Clarke, with a club official claiming such suggestions are "utter nonsense".
Odemwingie has also been tentatively linked with a move away from the Hawthorns to Qatari club Al-Gharrafa.
Albion, who on Tuesday flew out to their training camp in Sweden, face Malmo at the Swedbank Stadion on Thursday before facing Danish side FC Copenhagen at the Parken Stadium next Wednesday.
West Brom squad for two-match tour of Scandinavia: Foster, Myhill, L Daniels, Allan, Berahino, Brunt, Cox, Dorrans, Fortune, El Ghanassy, Gera, Hurst, Jara Reyes, Jones, Long, McAuley, Morrison, Mulumbu, Odemwingie, Olsson, Reid, Ridgewell, Tamas, Thomas, Thorne.