Manchester United beat Brighton 4-0 in a replay to win the 1983 FA Cup after the first match finished 2-2.
City can deliver the first trophy of Guardiola's reign in charge next Sunday against Arsenal in the League Cup final.
"I think in the FA Cup, every season, there are a lot of surprises". It normally takes time for teams relegated from the Championship to adapt to League One but Wigan have performed very impressively so far this season and look set for an immediate return to the second tier, potentially as champions.
The brilliant striker is arguably in the form of his life, scoring 14 goals in his last 11 appearances, and with City in such blistering form and capable of getting on the scoresheet early - they've scored within 15 minutes in three of their last five games and inside 22 minutes in all of those last five matches - then I can see this bet giving us a good run for our money.
"But when some of the players are back I think they are strong enough to be in the top places of the division".
Wigan do pose an attacking threat, though, thanks to former Manchester United forward Nick Powell and Northern Ireland global Will Grigg, who have 27 goals between them this season.
Paul Cook's Wigan, who are enjoying a fine season and on course for promotion, have already beaten two top-flight sides in Bournemouth and West Ham United this season.
"Football has a amusing way of sending out shock results and our belief on Monday night must be that we can win the game", said Cook.
City continue to fight on four fronts in the shape of the Premier League, the Uefa Champions League, the FA Cup and the League Cup and Guardiola is pleased his squad's injury list is easing. Premier League side Brighton & Hove Albion were one side who were reportedly interested in the midfielder which shows how much he has impressed so far this season.