Non-leaguers Havant & Waterlooville could face a trip to Anfield to take on Liverpool if they can beat Swansea City in their replay.
The Blue Square South side are the lowest-ranked team left in the competition.
They held League One leaders Swansea 1-1 at the weekend and are at home to the Welsh side in a replay next week, while Rafael Benitez's side must overcome Luton to reach the last 32.
Havant boss Shaun Gale is refusing to get carried away, though, and insists he remains fully focused on getting past Swansea.
"It's fantastic. We've got a tough tie getting past Swansea, I'm sure they'll want to go there as well,'' he said.
"Everyone was jumping around, it's potentially something fantastic for the club, for me and for everyone connected.
"The boys have given me everything. We went there (to Swansea) with a gameplan. Going behind at the time we did, we could have folded, but they kept going and got their reward in the end.
"They (Swansea) won't enjoy coming here. It will be a full house and an intimidating atmosphere. We've got to make it awkward for them - they are a good side and we've got to stop them playing.
"It's been a fairytale. You see it every season and this year it's been us and it's great.'' Club secretary Trevor Brock added: "It's absolutely unbelievable. What an incentive to get past Swansea. The capacity of our ground is 4,800 and it will sell out without any doubt whatsoever.
"We have been producing miracles all season to get to this stage. We'll do everything we can against Swansea and what an incentive we've got.''
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