Fellow League One side Bolton Wanderers, who were victorious against the Blades on the opening day of the season made it into the Second Round by beating Grimsby Town by a single goal.
Harry Chapman came off the bench (at half-time) and grabbed three goals as United beat Leyton Orient in their First Round tie. The Blades had already taken a three goal lead at the break, Chris Basham, Keiran Freeman and Stefan Scougall all finding the net in the 6-0 win.
The game will take place on either 3rd or 4th December 2016.