Consecutive defeats to Manchester City and West Ham ended a return of seven points from a possible nine, although the FA Cup finalists do have a game in hand on their relegation rivals.
And Martinez has pinpointed the fixture at the DW Stadium against Villa on May 19 as more important than Wigan's first ever FA Cup final, which takes place eight days before.
|4/6||Wigan are 4/6 with BetVictor to be relegated from the Premier League
"The cup success has given us an extra belief and confidence. If we carry on performing like this we will get our points. We need many more.
"We have 31 points and don’t look elsewhere for anyone to do us favours. Remember that our last game is against Aston Villa at home. It could easily go to the last day of the season."
Of the teams involved in the relegation scrap, Wigan's run-in appears to be the most challenging on paper with trips to West Brom and Arsenal and home games against Tottenham and Swansea still to come.
However, Martinez is confident that Wigan can survive and has targeted three more wins to secure the team's Premier League status for another year.
"If you are looking around you would say that 39 is safety," Martinez continued. "That could change. There are games between the teams involved. The players are in a great moment and that gives me great confidence. The squad is ready to finish the season really strong. We have five games in the league, three at home.
"We are excited. It could be an historic season and that is what we are working towards, without fear — achieving the most memorable season at Wigan ever. It will be for the right reasons. We will make sure of that."