Speaking about the game to the Wigan Evening Post, Martinez said: “We all know these kind of cup-ties are always tricky, because they are very big occasions for the lower-league team.
“In any cup draw, all you ask for is to be at home because it gives you a sense of normality.
“When you’re away, especially against a lower-league side, the opposition is usually hyped up and determined to show what they can do against a big team.
“From our point of view, we need to learn from the negative experiences we’ve had in the past and make sure we’re ready to face a very good Swindon side.
“I’ve seen them a few times this season and they’ve hit some really good form in recent weeks. They’ll be a very tough team to play against and we’re all aware of that.”
Paolo Di Canio, is the manager at Swindon, and he is excited about the prospect of playing a team from the Premiership.
He said: "I am very happy with the draw and I hope our fans come to The County Ground and we can have a big crowd. Wigan are a Premier League team and it will be good to see them at The County Ground.
"It will be good for the club and good for the fans and I can't wait for round three day to come around.
"We will do everything to make the day special. It is the FA Cup and sometimes dreams can come true."
Di Canio's side are presently in the play off positions of League Two and will be looking to give a stiff test to the Latics.
The game is scheduled for 7th January 2012.