Birmingham have been given permission to talk to Burton manager Gary Rowett about their vacant position, according to Sky sources.
Burton have been dealt an injury bow with the news that defender George Taft has a torn hamstring.
Burton boss Gary Rowett praised the "amazing character" that saw his side home in a 4-3 thriller against Carlisle.
A first half goal blitz sank Carlisle and enabled Burton to hold on for victory as an entertaining game at Brunton Park finished 4-3.
Burton Albion have signed utility man Darragh Lenihan on a one-month loan deal from Blackburn Rovers.
Team news for Tuesday's League Two clash between Carlisle United and Burton Albion at Brunton Park.
Jim Bentley praised the enduring skills of forward Kevin Ellison as Morecambe climbed to sixth with a 2-0 win at Burton.
Morecambe struck twice in as many minutes after the break to grab a 2-0 win at promotion rivals Burton.