Andy Hessenthaler's Dover side face AFC Wimbledon on Tuesday.
Maidstone will host Dover Athletic in the fourth qualifying round of the FA Cup, if the Whites can get past AFC Wimbledon in a replay on Tuesday night.
Stones boss Lloyd Hume said: "It's a game that will excite everybody but, as a manager, it is a tough draw."
Dover boss Andy Hessenthaler told BBC Radio Kent: "It's a great game for spectators, it's a local derby but it's probably not the one I really wanted."
"You obviously want a home tie and we've been a bit unfortunate there."
Hessenthaler added: "It'll be an interesting game.
"I'm really good friends with Alan Walker (Maidstone's assistant manager) and I know Lloyd very well, so it's going to be a good battle if it is us.
"We've obviously got a job to do on Tuesday away to AFC Wimbledon which is not going to be easy for us."
Hume admits he would prefer to face Dover rather than Wimbledon - who play one league higher than the Whites in Blue Square South.
"You'd have to say on paper you'd want Dover rather than Wimbledon. They're a team in our league and on paper they're more beatable," he explained.
"Having said that I read the report in the non-league paper from Terry Brown - the AFC Wimbledon manager - and he said that was the toughest game they've had all season so it tells you what a good side Dover are."
Ebbsfleet United - who are Kent's only other representative in the preliminary rounds - will travel to Woking.
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