Jarosik is the club's leading scorer with seven goals
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Birmingham boss Steve Bruce says he hopes to tie up long-term deals for midfielders Jiri Jarosik and Nicky Butt in the summer.
Bruce said there was a deal in place to keep Chelsea's Jarosik, 28, and Newcastle's Butt, 31.
"Nicky is the same sort of thing as Jiri. If we stay up, there is a proviso for a deal to be done with Newcastle."
Butt upset Bruce when he walked out of the team hotel after being excluded from the squad that played West Ham.
But he has responded positively after being disciplined and impressed in last weekend's 1-0 home success over Sunderland.
The agreement to retain Jarosik's services also depends on City remaining in the Premiership. The Czech international is the club's leading scorer with seven goals despite being used in various positions.
Bruce added: "Might Jiri have a long term future at Birmingham? Yes.
"Both parties and the player have to be agreeing with that in the summer for it to happen. We have to stay up that's for sure."