The Foxes go into the game on the back of an impressive 3-1 win over title rivals Manchester City and Vardy - the Premier League's top scorer this season - says his side are not feeling the pressure.
The England international is also confident Leicester can emerge victorious despite the fact Arsenal ran out convincing winners in the reverse fixture earlier in the season.
"They're all massive, massive games, and we know it's going to be tough, especially as they beat us 5-2 at our place earlier in the season. But I don't really think it was a 5-2 game, I think it could have gone either way it was that open," he told Sky Sports.
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"We know they've got world-class players in their ranks but we know we can cause anyone trouble when it comes to game time. We'll be looking at ways to hurt them and putting that on the pitch on Sunday."Vardy also insists his side will not have failed if they miss out on the title, despite being five points clear with 13 games left to play.
"It won't be a failure [if Leicester don't win the title] because nobody gave us a chance at the start of the season, we've just been on a good run and it has been a very enjoyable ride which we are enjoying every minute of," he added.
"The team spirit in the dressing room, everyone is close-knit, that's how we always have been. It started with the run last season, getting out of the relegation zone, and we've carried it on."