Redmond became, at 16 years, 173 days, the second-youngest player in club history when he made his debut against Rochdale as a substitute in the Carling Cup.
He cannot sign professional forms until March, when he turns 17, and interest from rivals keen to spirit him away from Blues has been high.
But Redmond told the Birmingham Mail: "I have been happy here at Blues all the time.
"I grew up here and I wouldn't like my mum or my little brother - he's only eight - to change their lives.
"Particularly if I didn't make it at another club."