Arsenal have been drawn to host Tottenham in the FA Cup third round, while Manchester United will face Swansea and Liverpool have a home tie.
Birmingham manager Lee Clark was impressed his team increased their unbeaten to five games - but disappointed with their home form after yet another draw at St Andrew's.
Kyle Bartley's late goal snatched a point for Birmingham in an entertaining 2-2 draw with Middlesbrough in the Sky Bet Championship.
Tom Adeyemi is a slight doubt for Birmingham's home clash against Middlesbrough on Saturday, but Kyle Bartley returns to the frame.
Steve McClaren admitted Derby were not at their best after a last-gasp 2-1 victory over his old club, 10-man Middlesbrough, while Aitor Karanka thought Curtis Main's sending off was harsh.
Derby moved into the top six of the Sky Bet Championship after recording a 2-1 home win over 10-man Middlesbrough on Wednesday night.
Jamie Ward could return to the Derby squad for the visit of Middlesbrough.
New Middlesbrough boss Aitor Karanka admitted his Riverside dream dugout debut almost turned into a nightmare as Bolton missed a late penalty in a 1-0 defeat at the Riverside.