Emmanuel Adebayor's late winner at Stoke lifted Spurs back over their north London rivals into fourth place but the Gunners would regain pole position with a win at the Emirates on Tuesday.
FA Cup winners Wigan need to win themselves to have a realistic chance of survival and Villas-Boas reckons Roberto Martinez's men can follow up their last-gasp Wembley triumph over Manchester City with another shock win.
"Obviously there is great emotion and motivation going through the Wigan players' heads at the moment, and we saw the message from (chairman) Dave Whelan saying they are absolutely focused.
"I expect them to give them a hard game because the objectives are there for both teams. Arsenal are a very experienced side, but Wigan are very, very motivated to save themselves."
The Gunners go to now-safe Newcastle on the final day while Spurs face Sunderland at White Hart Lane.
"For us the objective was to take this into the last game of the season and that is what we will do," Villas-Boas added.