The Merseyside club's reward for beating the Canaries 2-1 is a quarter-final tie, to be played on the weekend when they were due to host United in the Premier League.
Our visit to Anfield had been provisionally scheduled for Sunday 20 March but a new date will now have to be found for one of the biggest league fixtures in English football. This will be announced on ManUtd.com and the United App in due course.
The need to rearrange the Liverpool trip means the last match for Ralf Rangnick's side this month will be against Atletico Madrid, at Old Trafford, on Tuesday 16 March at 20:00 GMT.