Southampton, who are struggling in the Premier League, will be visited by holders Liverpool.
Newcastle United hosts Brentford, while Arsenal hosts Crystal Palace in a London derby.
The week of December 16 is when the quarterfinal matches will take held.
There aren’t any EFL teams in the League Cup quarterfinals for the first time in fourteen years.
While United, who defeated Leicester 5-2 under interim manager Ruud van Nistelrooy, will expect to have Ruben Amorim in charge by then, Spurs defeated Manchester City in the fourth round.
Quarterfinals of the EFL Cup:
Manchester United versus Tottenham
Crystal Palace versus Arsenal
Brentford versus Newcastle
Liverpool versus Southampton.