Owls manager Brian Laws said: "He's feeling his hamstring a bit. It's not good news. He's unlikely to be involved for the next couple of games at least."
Sodje had returned to the substitutes' bench in recent weeks and was hoping to finish the campaign with a flurry but Laws is now aiming to get him fit for next season.
"He didn't have a full pre-season last year. We don't need him at the moment. We want him to be ready for next season," he said.