Man United confirmed this in a post via their website on Wednesday.
The three players to miss the Burnley clash are Victor Lindelof, Paul Pogba and Bruno Fernandes.
Lindelof is currently recovering from a COVID-19 infection, while Pogba will not take part in the Burnley clash due to a thigh problem that is keeping him sidelined.
Fernandes, meanwhile, will be unavailable due to a one-match suspension.
The Portugal midfielder collected his fifth yellow card of the Premier League season on Monday night.
Man United head to the game following a 1-1 draw with Newcastle United in their last Premier League tie.
The kick-off time for the Man United vs Burnley game is 9.15 pm.