Under new manager Michael Laudrup, the Swans find themselves sitting eighth on the table thanks to a recent recovery of five league matches unbeaten and Britton feels the Liberty Stadium squad is capable of pressing hard for a spot in the Champions League next season.
"If we win on Saturday we go above Arsenal and then we'll start looking at the top four," Britton told BBC Sport he said ahead of tomorrow's trip to the Emirates Stadium.
"It's great going to Arsenal and they're one place above us.
"It's been a good start but there's still a long way to go, but we'll go to Arsenal and it's a great place to play football.
"You can go there with a little bit of pressure off but at the same time we want to try and put a performance on and come away with something. We don't want to turn up and make the numbers up."