Should the Toffees advance beyond their League One opposition, they will take on Wigan Athletic at Goodison Park for a place in the semi-finals at Wembley.
However, despite admitting that facing Wigan on their own patch is a "massive carrot", Neville has insisted that Oldham will be no pushovers.
"It is a massive carrot for us but I don't think we can look much further than the replay against Oldham," he told the club's official website. "They fear nobody and the results on Saturday, with Arsenal losing at home, provide a reminder that there are no easy games.
"If you aren't on it, if your attitude is not right and if you don't put your chances away, then you can be involved in an upset."
The first tie at Boundary Park between Everton and Oldham ended in a 2-2 draw on Saturday night.