However, Di Santo believes that his side may have to win three of their last four games to be safe.
"We've given ourselves some breathing space at the bottom, but it's not over yet," he told the Wigan Observer.
"Three wins would be enough, maybe less, but we don't want to let our standards slip now.
"The way we've played in recent weeks, and the teams we've beaten, we're good enough to finish with four wins."
Wigan continue their campaign this weekend when they travel to Fulham.