The tie is scheduled to take place at the Maurice Rebak Stadium on Saturday 16 September, with a 3pm kick-off.
Managed by Ahmet Rifat, Wingate & Finchley currently compete in the Isthmian League Premier Division.
Admission prices will be confirmed at a later date.
Winning Clubs in the Second Round Qualifying will pick up £3,375 from the competition prize fund, while the losing teams will collect £1,125.
If the first match is drawn after ninety minutes, the tie will go to a Replay to be played the following midweek.
View the Second Round Qualifying draw in full.