Milner was forced to sit out the victory over Aston Villa on Sunday due to a minor muscle issue the Reds didn't want to risk.
Lovren has been absent from the past two matches with a knock, while Joel Matip is set to miss the remainder of the season with his foot injury.
There was, however, a return for Xherdan Shaqiri on the weekend, with the No.23 part of a matchday squad for the first time since January.
Brighton, meanwhile, will definitely be without Jose Izquierdo, with Steven Alzate also a doubt.
Seagulls manager Graham Potter told the media on Monday: “The only player not available on Wednesday will be Jose Izquierdo. He’s still some way away, he’ll be more for further in the future.
“We’re monitoring him [Alzate] daily, we’ll have to make some decisions over him in the next few days. He looked like he was struggling slightly in training on Monday, so we’ll have to see.”
Last match
Norwich City 0-1 Brighton (July 4): Ryan, Lamptey, Webster, Dunk, Burn, Propper, Bissouma, Mooy, Trossard, Maupay, Connolly.
Liverpool 2-0 Aston Villa (July 5): Alisson, Alexander-Arnold, Gomez, Van Dijk, Robertson, Fabinho, Oxlade-Chamberlain, Keita, Mane, Salah, Origi.