The game at St Andrew's will be played on Tuesday, 21st March and is to be screened live on Sky Sports, kick-off 7.45pm.
All quarter final matches are to be shown live with the BBC screening the other three ties:
Bolton or West Ham v Aston Villa or Man City on Monday, 20th March.
Chelsea v Newcastle on Wednesday 22nd March.
Charlton v Middlesbrough on Thursday 23rd March.