The on-loan Chelsea striker has impressed on-loan at WBA this season.
Olsson said: "He has done very well for us. The reason I think we are where we are is because of the competition for places and with him, with Peter (Odemwingie), Marc-Antoine Fortune and Shane Long, I think there is a lot of competition there for places so I would very much like to keep him here.
"He is enjoying himself at training and in games at West Brom so when you do that you play good football."
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