Rodgers was keen to find playing time for the winger.
"I've wanted to have Jordon out on loan for a little while," the Northern Irishman told Liverpoolfc.com. "Because he has been close to the team and the squad, he has been unable to.
"Our squad was very small so he was playing a big part in that over the last few months. But he's still a very young player - he needs games and experience under pressure, and obviously that was limited with us.
"He has not long turned 18, he has got plenty of time. We wanted to send him to a club with a manager who has worked with young players and got the best out of some young players.
"Lee Clark, we feel, is someone who could do that. Traditionally, Birmingham City is a brilliant club, a big club. So there is a little bit of pressure, but he's going to go there and hopefully play, get his experience and earn his position in the team."
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