Whites will begin their 2019/20 Kent Senior Cup journey away at Bet Victor Isthmian League South East Division side Faversham Town.
Athletic lifted the trophy in 2017, beating Welling United 2-0 in the final at the Gallager Stadium. Dover then returned to Maidstone United’s ground last season in the competition, losing 4-2 in the second round.
Faversham qualified for this stage by beating Herne Bay 1-0 in the first round.
The date of the second round tie at Salters Lane Stadium will be announced in due course.