Jacob Johansson gave Sweden the advantage with a deflected strike in the 62nd minute of Friday's match.
The Italians complained about what they saw as an overly aggressive approach from the hosts in Solna. But Sweden coach Janne Andersson said his team will again be 100 percent committed when they take to the pitch at San Siro, as they look to reach their first World Cup finals since 2006.
"We have to dare when we have the ball, so you don't get passive and anxious,'' Andersson said to Aftonbladet.
"And we have to take the duels. Football is pretty simple - taking it down to the smallest part, it is a duel between two players. Each time you win one, you get the ball, usually. If you lose the duel, the opponent gets the ball."
To qualify for next year's finals in Russia, Sweden only need a draw tonight.
The Italians are in danger of missing out on the finals for the first time since the World Cup in Sweden in 1958.