Provided Southampton does not win the FA Cup instead of other semifinalists Chelsea, Manchester United and Tottenham, seventh place would be enough for a spot in the Europa League.
Jamie Vardy's 72nd-minute strike made it a nervy finish but the hosts held on to record a fifth straight win for the first time in half a century. Sean Dyche's side look increasingly likely to be in next season's Europa League.
But Dyche said: "How can there be a negative?"
"To have the opportunity to play this decisive game at this stage of the season is good because we shouldn't forget where we were a few months ago".
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Teams are picking their moment and running at their defence, taking advantage of their indecision and using spaces to score goals. As things stand, it looks likely that Tottenham will finish in the top four for the third successive season.
Having only made it into the Burnley team due to Tom Heaton's shoulder injury earlier this season, Pope has held onto his position even with the club captain back fit, and his performances earned him a maiden global call-up for recent friendlies against Netherlands and Italy, where he was an unused sub.
It's also just the first time Leicester shipped two goals within the first 10 minutes of a Premier League game since August 2003 v Aston Villa. "Now it's open-minded and see how far we can go". "But I've got no loyalties to them any more so hopefully we'll have a good weekend".
"We need a result of course, for a manager the most important thing is to keep the right way and to keep players sometimes fans, sometimes press, I think the right way", he said. "It was close but after the two goals it was surprising", he added.