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.
9. CAM - Fisayo Dele-Bashiru
Fisayo Dele-Bashiru's Sheffield Wednesday future remains very much up in the air but for now, he's going nowhere. What does this second half of the season hold for him? He was taken out of the Newcastle win at half-time but the temptation will be there to hand him minutes here. Rest Josh Windass or keep his red-hot form going? If the latter, Fiz could come in. Photo: Steve Ellis
10. CF - Callum Paterson
Could go any way in the top two shake-up, but perhaps Smith could do with a rest? What about Gregory? If that's the case they won't want to lose anything in the way of defensive aptitude at set pieces - could Pato come back in after some excellent form of late? Photo: Gareth Copley:f
11. CF - Mallik Wilks
This is the wildcard - of sorts. Wilks hasn't quite been able to regain ground having fallen down the pecking order - though in terms of cold, hard numbers he's not doing too badly. If he isn't given a run out in this one, when will he be? Photo: Steve Ellis Steve Ellis