The Reds completed a convincing 5-0 aggregate play-off win over Atletico Madrid on Thursday evening, to set up the last-eight tie with the German giants.
We'll host the first leg, at Old Trafford, on Wednesday 25 March.
Kick-off at the Theatre of Dreams is set for 20:00 GMT and tickets are available to buy now.
You can secure your seats for the Manchester derby, which also takes place at Old Trafford, three days later, too. The kick-off time for that one has moved to Saturday 28 March, at 13:30 GMT.
The return fixture against Bayern will be held at the club's main stadium, the Allianz Arena, on Wednesday 1 April.