As well as receiving £90,000 for winning the tie from the FA's prize fund Oldham also received the fee due to each club broadcast live in the fourth round this season which is £135,850.
The draw has also been kind to Oldham with their home tie against Everton again almost certainly bound to be shown live.
Luton Town, who became the first non-league side to knock out a top-flight team since 1989 when they beat Norwich 1-0, will play Millwall at home.
League One side MK Dons earned a home tie against Barnsley as reward for their win over QPR.
And Leeds, who shocked Tottenham, must travel to to Manchester City next.
Manchester United will host Reading and holders Chelsea, who were held by their west London neighbours Brentford on Sunday, face a trip to Middlesbrough if they win their replay.
Arsenal, who have not won a trophy since 2005, will play Blackburn at the Emirates Stadium for a place in the quarter-finals, while Wigan must travel to Huddersfield or Leicester.
Oldham were thankful for their TV appearance, but one has to question ITV/ESPN's decision to broadcast the Manchester United v Fulham game live. On paper it was one of the least interesting ties in Round 4 and in effect robbed much worse off clubs of vital TV revenue.
The fee to each club broadcast live in the fourth round this season of £135,850, less than the weekly wage for one top United player, would be gold dust to smaller clubs that have made it this far in the competition.
"When you put it like that it is farcical," said John Harris, the chief executive of Macclesfield Town, who is disappointed the Conference club were not selected for live coverage of their home tie against Wigan Athletic. "When we beat Cardiff City here in the third round, the scenes at our stadium were magnificent and a giant-killing could be on the cards again. No disrespect, but is Manchester United playing Fulham more attractive to a football purist?
"For us, that money, £135,000, would be massive, it would save our season after relegation to the Conference, which was a huge blow. If David Gill [United's chief executive] is feeling generous one morning and wants to divert that money down the A34 to Macclesfield, it would be very welcome."
The fifth round ties will take place on the weekend of 16 and 17 February.
FA Cup fifth round draw in full:
Huddersfield or Leicester v Wigan Athletic
MK Dons v Barnsley
Oldham v Everton
Luton v Millwall
Arsenal v Blackburn
Manchester City v Leeds
Manchester United v Reading
Middlesbrough v Chelsea or Brentford