Their imperious form has seen the Owls have burst into the top two of the League One table and having defeated Premier League high-flyers Newcastle United at the previous stage, they have every chance of hopping into the fifth round.
The Cod Army make their second trip to Hillsborough in seven days having been outdone in a controlled 1-0 Wednesday win last weekend.
While all the expected noises have been made on taking one match at a time and that no game is more important than another, Moore may well have half an eye – a quarter-eye perhaps – on next weekend’s visit of table-topping Plymouth Argyle.
With a smaller squad to shuffle the pack with, will the temptation be there to make a handful of changes?
We’ve had a go at selecting the team the Owls might plump for with a money-spinning spot in the fifth round at stake.
5. RWB - Jack Hunt
Back in and performing with real solid quality down the right, Hunt's selection is another that may well come dependent on how he's shaping up with two 90-minute outings after five months without a league start. Perhaps he could do with another leg-stretch? Once again, options around a potential sit-out are limited. If fine and dandy, keep him lit - he's been great since his return. Photo: Steve Ellis
6. CM - Will Vaulks
A real star performer in recent weeks, Vaulks has stepped up massively in the absence of Bannan and later Byers. He's durable and plays with an energy that is hard for others to replicate. There are a few ways the midfield could be spun - Dennis Adeniran, anyone? - but we'll stick with Vaulks with the potential to come off in the second half if cruising. Photo: Steve Ellis Steve Ellis
7. CM - Tyreeq Bakinson
After a hugely impressive start to life at S6, Bakinson's progress has slowed a touch by injury, illness and the advancement of one or two midfield rivals. He hasn't started for five weeks but with others out and the potential for rotation, could this be the time to step up his minute log? Photo: Steve Ellis
8. LWB - Marvin Johnson
A near ever-present over the past two seasons, Johnson has been back to his best over the last few weeks and is gripping a PFA Player of the Month award for his efforts. Is he in need of a rest? He sat out all but the last few minutes at Wycombe so should be in decent fettle - one of Brown to come in for perhaps? Photo: Steve Ellis Steve Ellis