Brendan Rodgers faces a crisis in midfield with captain Jordan Henderson and Adam Lallana out injured while Coutinho is out suspended.
Emre Can who made his international debut for Germany last week against Poland and then started in the following match against Scotland is likely to start in central midfield.
Manchester United boss Van Gaal may decide to bring De Gea back into the role after agreeing to extend his contract with the Red Devils.
United will be without Michael Carrick which could result in both Schneiderlin and Schweinsteiger starting.
The Red Devils are currently 5th on seven points after four games while Liverpool – also on seven points – are 7th on goal difference.
Manchester United v Liverpool
Kick-Off: 17:30 GMT
Stadium: Old Trafford
Man Utd possible starting lineup:
De Gea; Darmian, Smalling, Blind, Shaw; Schneiderlin, Schweinsteiger, Mata, Herrera, Depay; Rooney
Liverpool possible starting lineup:
Mignolet; Clyne, Skrtel, Lovren, Gomez; Can, Lucas, Milner; Ibe, Benteke, Firmino