Lee Bradbury’s Hawks have been handed a home tie in the FA Cup against Swindon Supermarine. Gosport must travel to Larkhall Athletic.
Meanwhile, Bognor will go to Witham Town if they can beat Lewes in their first qualifying round replay.
The second qualifying round ties will take place on Saturday, September 27.
Winning clubs receive £4,500 from the FA prize fund.
Gosport’s opponents Larkhall are in the Southern League division one south & west.
Swindon Supermarine, who travel to the Hawks, are in the same division as Larkhall.