Crowborough, who currently sit 9th in the Southern Combination Premier Division, overcame Peacehaven and Telescombe with a 1-0 away victory in the previous round. The Crows were involved in a thriller in round two of the competition when they beat Little Common 6-4.
The Reds beat Lancing 4-0 on the road to cement their place in the last eight.
Information regarding the date and time for the fixture will be announced in due course.