The Beeb will also be showing two of the other three quarter-finals - Chelsea-Newcastle on Wednesday, and Charlton-Middlesbrough on Thursday.
The other quarter-final tie between Birmingham and Liverpool is on Sky Sports 1 tomorrow (7.45ko).
Meanwhile, City's next home game - against Middlesbrough in the league - has been moved from Sat, April 1 to Sun, April 2 after Boro reached the UEFA Cup quarter-finals. Kick-off is still at 3pm.