The game will be played at Ewen Fields, home of Conference club Hyde, and will be played on Tuesday 1st April with a 7 p.m. kick off.
Burnley, now under Andy Farrell, have beaten Wigan, Crewe, Sunderland, Bolton and Exeter to reach this stage while City have secured wins against Stoke, West Brom and Newcastle having joined the competition two rounds later than us.
The other semi-final is Arsenal v Reading and that will be played this Saturday at Meadow Park, the home ground of Boreham Wood.