United, who defeated Manchester City in last season’s final, have been rewarded with a home tie after their 10 men won at Arsenal on penalties in the third round earlier on Sunday evening.
Van Nistelrooy, who won this competition as a player in 2004 and was United interim manager until Ruben Amorim’s appointment in November, guided the Foxes to a 6-2 victory over QPR on Saturday.
Premier League leaders Liverpool will travel to the Championship’s bottom club Plymouth, who upset Brentford on Saturday, and Pep Guardiola’s City face a trip to either Leyton Orient or Derby.
Three all-Premier League ties will see eight-time winners Chelsea visit Brighton, Aston Villa host Tottenham and Everton take on Bournemouth.
Exeter, in the fourth…