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Ashford United face a trip to Spartan South Midlands leaders Ampthill Town in the fifth round of the FA Vase next month, if they get past league rivals Hanwell Town on Saturday.
United's trip to Middlesex was one of four last-32 ties to be postponed because of the weather, with the tie now re-arranged for this weekend.
A 10am pitch inspection on Saturday morning ruled that Hanwell's Reynolds Field ground in Greenford was unplayable.
Ampthill advanced to the last-16 for the second successive season after a 3-1 win over Norwich United with Phil Draycott grabbing a hat-trick.
Holders Spennymoor who beat Tunbridge Wells in the final at Wembley last May, are at home to Northern League rivals Newcastle Benfield.
The fifth round ties are due to be played on Saturday February 15.