Rivals North Shields and Ashington, who hope to play their delayed FA Vase tie on Wednesday night, have been given the incentive of a home tie against Cheshire-based Runcorn Town in the next round.
Both the Robins and the Colliers were left frustrated on Saturday after referee Lucy Oliver declared the pitch unfit at the Daren Persson Stadium due to a waterlogged surface.
Runcorn, who defeated Garforth Town 3-0 in their second round tie at the weekend, operate in the North West Counties League and are currently third from top in the premier division.
They are scheduled to travel to meet their opponents from North Tyneside or Wansbeck on Saturday, December 12.
Ashington FC head coach Ian Skinner said: “First and foremost, the management and players are 100 per cent fully focused on our game against North Shields.
“Consequently, although I am aware of the draw for the next round it is of no interest to us.”