With League Two Bradford the visitors to the DW Stadium, the Latics will be expected to come through and make the last eight, where they were eliminated by Arsenal two seasons ago.
Since that night at the Emirates, Wigan have played seven ties in the League and FA Cups, only one of which was at home, and that was a replay.
Last season they were dumped out in the first round of both competitions, at Crystal Palace and Swindon, while in the Capital One Cup this season they have claimed away wins at Nottingham Forest and West Ham.
Wigan gave themselves some breathing space in the Barclays Premier League with victory over the Hammers on Saturday, and manager Martinez has now turned his focus to further cup progress.
He said: "Every game is a big game now. Getting into the final eight is a fantastic prize for Bradford and for ourselves. We're going to get 5,000 supporters from Bradford and that's going to make it a big game.
"We're really looking forward to it. We've had two fantastic performances already in that cup and now we need to get the same standard at home.
"It's the first time we've had a cup game at home in the last two years and we need to make the most of it."
Martinez had hoped to give Japanese winger Ryo Miyaichi another run-out after he impressed in the cup game against West Ham but the Arsenal loanee is still struggling with a groin injury.
The Latics boss is certain to make a few changes, though, and strikers Mauro Boselli and Callum McManaman could well be given another chance up front.
Boselli has already scored three goals in the competition this season while, for 21-year-old McManaman, the Capital One Cup is another step towards the first team.
McManaman joined the club five years ago as a 16-year-old and spent three months of last season on loan at Blackpool in the Championship, scoring twice for Ian Holloway's side.
He has scored three times for Wigan in his career, all of them in the cups, and he told www.wiganlatics.com: "I want to be involved all the time but I'm patient and, when the chance comes, I'll be ready to help make an impact.
"I'm full of confidence now because I'm getting involved every week on first-team match days, which means I've obviously worked hard enough to impress the gaffer.
"The games in the Capital One Cup have really helped my career progression because now I'm coming on in Premier League games more than ever.
"Playing in the under-21 games at home has benefited me as well because of the way the first-team style filters down."