Odemwingie targets top five finish for West Brom
Odemwingie, 31, sees no reason why Albion cannot split the big London clubs above of them.
Ahead of Saturday's visit of Norwich, Odemwingie said: "When a new manager comes in there is uncertainty but things are going well.
"Our points total is based on our performances, not on dreams and the manager has been very quick to settle us down.
"The fans are excited and loving the quality of football we are producing at the moment."