Birmingham are looking to bolster their backline ahead of their Premier League return nd have already recruited goalkeeper Joe Hart and defenders Scott Dann and Giovanny Espinoza, with Roger Johnson also set for a move to St Andrews.
Loovens has also been linked with the club but the Dutch star says
he is not interested in joining Alex McLeish's men.
He told the Daily Record: "I'm staying at Celtic. I finished the season strongly and Celtic are not a club you want to leave.
"Everything is perfect here. You are treated like a superstar."
Scottish Premier Winner 2009/10 Win Outright: Celtic 5/6