Boro – who are yet to pick up a win in the Northern Premier – overcame Mickleover Sports 3-0 to set up the tie with Harriers, who enter the competition at this stage.
It's the first time the teams have met in a competitive match for 11 years.
On that occasion, Kidderminster ran out 6-0 winners over a Stafford side managed by Wolves legend Steve Bull.
Halesowen Town will also have to overcome the difference of one division when they host Stratford Town.
The Yeltz – of Southern Central One – will host Southern Central Premier Stratford Town after thumping Lichfield City 7-1 on Saturday.
Hednesford Town will hope Kieran Wells can repeat his weekend hat-trick heroics against Lutterworth Town when they entertain divisional rivals Barwell.
Chasetown squeezed past Staveley Miners Welfare 1-0 in the first qualifying round and will look for a more convincing performance when they travel to Leamington.
Stourbridge can now look forward to an away-day at Coalville Town after overcoming Bromsgrove Sporting by a single goal.
Rushall Olympic will face the victors of Tuesday night's first round replay between Banbury and Gainsborough Trinity.
All second qualifying round ties will be played on the weekend of Saturday, September 21.