Goals from Robin van Persie and Angel Di Maria gave United a two-goal lead inside 15 minutes, before the Foxes turned on the style, scoring five goals, to clinch a surprising victory.
The result lifted Leicester into the top 10, although they failed to capitalise on their good form, losing 2-0 at Crystal Palace and dropping to 12th place heading into this weekend.
Having netted five past the Red Devils on their last outing on home soil, Nigel Pearson’s men face Burnley, themselves as-of-yet winless, and managing just one goal in six games so far.
Despite the defeat to Palace last weekend, Leicester star Jeff Schlupp has been impressed with the Foxes start to the season, and he believes that their goalscoring exploits at the start of the season will allow them to overcome the Clarets at the King Power Stadium.
He told the Leicester Mercury: "We have had the big signing of Leo Ulloa and he has scored five goals but Burnley are lacking in that area. Hopefully, we can exploit that.
"They look strong defensively and are trying to concede as few goals as possible but if they are concentrating more on that then they will be less of a threat on our goal.
"We need to take the game to them and we should come away with the three points.”
Dependant on results elsewhere, a win against Burnley could see the Foxes rise into the top three, and Schlupp has been delighted with the early season form they have enjoyed - praising the victory over United as the greatest moment that will be enjoyed this season.
"We are in mid-table in October and if you had offered us all that before we started that run of fixtures, we would have taken it," he added.
"The boys are definitely happy and I think the fans are, too.
"Obviously, the stand-out performance has been the one against United and that could be the stand-out performance of the season. To have beaten them so early in the season after all the money they spent means a lot to us. When you look at the fixtures we had, we felt we had nothing to lose. We gave our all and we have come out with eight points."