Lee Clark was sacked on Monday afternoon after failing to take the Blues away from the drop zone, with only their form on the road ensuring that they don't join Blackpool at the bottom of the standings.
Blackburn secured a last-gasp 1-1 draw at Ipswich Town at the weekend, but Rovers have now gone four games without a win in the league.
Three points on Tuesday night would take Gary Bowyer's team to the brink of a top-six place, but their form will need to improve at Ewood Park with just two wins being recorded in six attempts.
Blackburn Rovers: LWDLDD
Possible starting lineups
Blackburn Rovers: Steele; Marshall, Duffy, Baptiste, Olsson; Cairney, Evans, Williamson, Conway; Rhodes, Gestede
Birmingham City: Doyle; Caddis, Edgar, Robinson, Grounds; Reilly, Gleeson, Arthur, Gray; Cotterill, Donaldson
Sports Mole says: 2-0