Having been pegged back during the last few seconds of their initial encounter, the Toffees will be frustrated at having to engage the Latics once again.
Now on home soil and having experienced their opponent's strengths, David Moyes' side will feel confident they can dispose of the League One outfit a little easier this time around.
Oldham will look to enjoy their money-spinning trip to Goodison Park, but will be keen to upset the odds and once again grab the headlines themselves.
Here's a preview to Tuesday's game with form, teams news and potential lineups all assessed.
Everton Last 5: WDLDL (all competitions)
Coming off a disappointing January transfer window, the Toffees haven't won any of their following four games, including the 2-2 draw with Oldham.
In their last two matches they have twice conceded last-second injury time goals, and it's fair to say the Toffees appear considerably more jaded than they have in a long time.
David Moyes will be hoping a win can galvanise his side and inject some momentum into the home straight of the season.
Oldham Last 5: LWDWW (all competitions)
Still languishing near the foot of the League One table, Oldham's fortunes have improved under the caretaker charge of Tony Philliskirk.
The Latics have won both games since their 2-2 draw with Everton and have put a little daylight between themselves and the drop zone.
They will arrive at Goodison Park with nothing to lose, and the Toffees cannot afford to underestimate them a second time.
Seamus Coleman's welcome return against Norwich leaves Tony Hibbert as the only long-term absentee, although Victor Anichebe also missed the trip to Carrow Road.
Taken off against Oldham, it's not yet clear the severity of the Nigerian's injury, but he will presumably be a doubt for Tuesday's game too.
Elsewhere, David Moyes has stated one or two others will need monitoring, but it should be a similar squad to the one against Norwich (via EvertonFC.com).
FA Cup hero Matt Smith returned to the Oldham starting lineup against Stevenage and is an option to lead the line if can he oust Chris Iwelumo or Lee Barnard from the team.
Smith then missed out on starting in the 1-0 win against Portsmouth, as—apart from James Wesolowski—Tony Philliskirk used team that drew with Everton.
The Australian has a minor hamstring injury, but it seems likely he will be available on Tuesday.
Tim Howard; Seamus Coleman, Phil Jagielka, Sylvain Distin, Leighton Baines; Kevin Mirallas, Leon Osman, Darron Gibson, Steven Pienaar; Marouane Fellaini; Nikica Jelavic.
This is a probable lineup for the Toffees, although there's a number of ways David Moyes could go.
Phil Neville and Mirallas sat on the bench against Norwich and will both be close to selection here. The Belgian could well slot in for the disappointing Steven Naismith, but finding a place for Neville isn't so easy.
If Coleman's capable of another game so soon after his return from injury then he will stay at right-back, leaving Neville needing to elbow his way into midfield.
Osman, Gibson and Pienaar are three players all in need of a rest, and while Moyes could fit his captain in here, it's unlikely he would drop such key performers in such a critical match for his side.
Therefore, it seems Neville may miss out.
Elswhere, Moyes initially opted to use Fellaini in a deeper role during the first tie to combat Oldham's physicality; however, Anichebe's likely absence will limit his attacking options meaning Fellaini will be needed further forward.
Jelavic will again lead the line and will be desperate to find the back of the net and rejuvenate his flagging season.
Dean Bouzanis; Connor Brown, Jean-Yves M’Voto, James Tarkowski, Jonathan Grounds; Lee Croft, James Wesolowski, Jose Baxter, Jordan Obita; Matt Smith, Lee Barnard.
As far as Oldham are concerned, Smith's success in the previous round, and again against Everton, should see him slot in, possibly for Chris Iwelumo.
Elsewhere, as long as Wesolowski recovers, it should be same again for the Latics as they bid to reach the final eight.