Sturridge, who made a switch from Stamford Bridge last month, has made an impressive start to his Reds career with three goals in five games.
And Johnson believes his new team-mate will be a great asset to Brendan Rodgers' side.
Speaking to the club's official website, Johnson said: "Danny Sturridge has settled in well and I think he'll do some fantastic things here at the club.
"He will be a fantastic signing. He will petrify defenders because he's so sharp, quick and unpredictable at times.
"He will always occupy at least two defenders, which gives the rest of us opportunities to make runs around him.
"He will be a great asset for us. I know how Danny felt at City and Chelsea. Every player wants to play in every game.
"I'm sure Danny left Chelsea to get games and show what he can do because he's a fantastic player.
"It's a great challenge to go up against Danny and Luis (Suarez) in training. I can really see the partnership being very good for us.
"We've already seen that, but it's still early days and it's going to improve over time as well. It's looking bright €between them."
The Reds will face league champions Manchester City on Sunday, and currently sitting just seven points off fourth place, Johnson is confident his team can challenge for a UEFA Champions League spot.
"The top four is still a realistic aim for us," he added.
"We can only worry about ourselves, but we are giving ourselves a chance and picking up points.
"If we can find some kind of run from now until the end of the season, I'm sure we'll be pretty close.
"There are probably six teams fighting for fourth place this season. It's very open. We know it will be tight."