These two sides came into Saturday’s clash at Turf Moor separated by six points in the race for seventh, which will be enough for a place in the Europa League qualifying rounds if struggling Southampton do not upset the odds and prevail from an FA Cup semi-final line-up also comprising Chelsea, Manchester United and Tottenham.
And early goals from Chris Wood and Kevin Long stretched the Clarets’ advantage over their eighth-placed opponents to nine points with five matches remaining.
Wood, who won the Championship with Leicester ahead of Burnley in 2013-14, netted his fifth goal in as many matches by scoring at the second attempt after Kasper Schmeichel’s save landed back at his feet.
Three minutes later the hosts were celebrating again as Long powered Johann Gudmundsson’s set-piece into the top-left corner for his maiden Premier League goal.
Jamie Vardy pulled one back to set up a nervy final 20 minutes but Burnley held on to secure five straight top-flight wins for the first time in 50 years, while a return to European competition – they haven’t played at that level since 1966-67 – remains a genuine possibility.
All but one of the Clarets’ last 13 league goals had come in the second half but they were quick out of the blocks here.
There was an element of fortune about the opener as Ashley Barnes played in Wood, who saw his initial effort saved by Schmeichel but the rebound fell kindly and the former Foxes forward took a touch before slotting home.
And before Leicester had been able to take stock the lead was doubled as Gudmundsson swung over a corner from the right and Long rose highest to nod home.