Away draw for Town in the Challenge Cup
If successful, the Lilywhites will have a last 16 trip to Wyberton to look forward to.
Town’s visit to Fulstow is one of only two round one ties, the other being the clash between Horncastle Town and Nettleham at The Wong.
Both games will take place on September 3.
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Hide AdThe remaining 14 teams have byes into the second round, which is scheduled to take place on October 1.
Those teams knocked out in the first two rounds will compete in the Supplementary Cup.
The full draw: Round One - CGB Humbertherm v Skegness Town, Horncastle Town v Nettleham; Round Two - Brigg Town Reserves v Market Rasen Town, Harrowby United Reserves v Louth Town, Horncastle Town or Nettleham v Cleethorpes Town DS, Hykeham Town v Lincoln Moorlands Railway, Ruston Sports v Grimsby Borough Reserves, Skegness United v Sleaford Town Reserves, Sleaford Sport Amateurs v Immingham Town, Wyberton v CGB Humbertherm or Skegness Town.