Jones is hopeful that United will rediscover a "cutting edge" against their old rivals after Monday's 0-0 draw at home to Chelsea.
And he says Liverpool will have one in in-form striker Sturridge, who has made a fine start to the season.
"He is a cracking player," said Jones. "He's one that we'll work on and watch out for.
"It's never easy going to Anfield, they put you under a lot of pressure. It's going to be a big game for the players and manager.
"We'll have to go there and be at our best but I'm sure if we find that cutting edge we can get three points."
Jones admitted the Red Devils were disappointed with some of their efforts in attack against Chelsea, as they rarely tested Petr Cech.
"Wayne Rooney had a few long-range efforts and we could have had a penalty shout in the final 10 minutes for handball, but you win some, lose some with those," added Jones.
"We got the clean sheet and looked solid defensively as a unit - not just the back four but collectively it was sound.
"It was probably just in the final third where we didn't find the cutting edge."