The clash, a repeat of the 1993 final, which was won by the Yorkshiremen over two legs despite the presence of numerous future stars in the Reds' line-up, is taking place on Wednesday 5 February, with a 19:00 GMT kick-off.
Admission details are still to be confirmed but the game is being shown live on MUTV.
The tie must be decided on the night, with extra-time and penalties if required.
We last lifted the trophy in 2011, for a record 10th time, by beating Harry Maguire's Sheffield United in the final.