The Reds have won their first two matches of the new Premier League season, with Daniel Sturridge scoring both times in 1-0 victories.
Looking ahead to the fixture, defender Jones has admitted that United will have to keep his England teammate quiet.
"It's going to be a big game for the players and manager but we'll have to go there and be at our best," Jones told the club's official website. "Sturridge is a cracking player and one who we'll work on and watch out for.
"It's never easy going to Anfield. They put you under a lot of pressure. But I'm sure if we find that cutting edge we can get three points."
Jones has deputised at right-back for United in recent weeks following an injury suffered by Rafael da Silva.