The Mali international arrived at the club from Portsmouth in February but has seen his chances limited by injury.
The 29-year-old hopes Birmingham will to extend his stay, but his immediate focus is on Sunday's critical clash with Reading, where victory would see Birmingham promoted to the Premier League.
"I like it here, the manager trusts me, and I would like to continue here," Traore told skysports.com.
"I am sure we will get promoted and bring this great club into the Premier League.
"I am looking forward to it. I am enjoying myself here, so when you are happy somewhere it is good to stay".