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The Imps will host Rotherham United, Huddersfield Town, Fleetwood Town or Chesterfield in the second round of the Vertu Trophy.
City will find out their opponents in Thursday afternoon’s draw, where they will be ball No.4 in Draw A of the northern section.
As Group D winners the Imps are guaranteed a home tie against a team who finished second in their group.
The round of 32 tie will take place at the LNER Stadium in either the week beginning 24 November or 1 December.
| Winners pot | No. | Runner-up pot | No. |
| Salford City | 1 | Rotherham United | 13 |
| Tranmere Rovers | 2 | Huddersfield Town | 14 |
| Doncaster Rovers | 3 | Fleetwood Town | 15 |
| Lincoln City | 4 | Chesterfield | 16 |