The Reds have been in stunning form in recent weeks and have a genuine chance of replacing United in the top four.
Jordan Henderson continues as captain, in Gerrard's absence, while Coutinho, Raheem Sterling and Daniel Sturridge make up a daunting attacking trio.
Louis van Gaal has also decided to stick with the side which beat Tottenham Hotspur 3-0 at Old Trafford last week. Angel di Maria can only secure a place on the bench while Wayne Rooney is preferred to Radamel Falcao.
Liverpool: Mignolet, Can, Skrtel, Sakho, Henderson, Allen, Moreno, Sterling, Lallana, Coutinho, Sturridge.
Subs: Jones, Johnson, Toure, Gerrard, Lambert, Lucas, Balotelli.
Manchester United: De Gea, Valencia, Jones, Smalling, Blind, Carrick, Herrera, Mata, Fellaini, Young, Rooney.
Subs: Valdes, Rafael, Rojo, Di Maria, Januzaj, A Pereira, Falcao.