After a week in which he was strongly linked with Nottingham Forest, Burke will line up against the Reds on Saturday aiming to continue the recent run of form which has seen him earn a recall to the Scotland team under new boss Gordon Strachan.
Blues manager Clark told the Birmingham Mail: "I have got to say in the last six, seven games, I think he has gone back to last season's form.
"I am absolutely delighted he has got the call-up he deserves."