Blues Could Face Wigan
Everton will host Wigan if they can see off Oldham.
Everton or Oldham will play Wigan in the next round of the FA Cup.
If the Toffees can overcome the League One side in the fifth round replay on 27 February*, they will host the Premier League strugglers on 9 or 10 March.
A replay is required after Oldham scored a late equaliser at Boundary Park on Saturday, forcing a 2-2 draw.
Earlier this season, Everton beat Wigan 2-1 at Goodison Park on Boxing Day.
Roberto Martinez's Latics reached the quarter final stage with a clinical 4-1 win at Huddersfield shortly before the draw was made.
And Martinez said: "It is a great tie. Oldham have been magnificent and we will follow that game (the replay) with interest."
Ticket news for the fifth round replay will be announced on evertonfc.com early next week.
*Subject to live TV selection.