A second-half penalty from captain Andreas Granqvist sealed victory in Nizhny Novgorod on Monday and moved Sweden joint-top of Group F alongside Mexico, who stunned the world champions by the same scoreline a day earlier.
Andersson admits that result made beating South Korea particularly important and is now targeting a second victory on Saturday, a result that could see Germany eliminated from the finals at the first hurdle.
"Possibly it made it perhaps even more important for us to win this game," he told a news conference. "I focus on this game, I want us to win, but from the outside I can agree that the opportunities for us moving forwards are much greater as we won this match.
"They [Germany] are the ones we have to try and beat. Whether [knocking them out] is an extra motivation, I'm not sure. We'll prepare in the best way possible for a really good game."
South Korea enjoyed an encouraging start but ultimately failed to register a shot on target in the match, as Sweden eased into control of proceedings.
Andersson was a little anxious not to be leading at half-time but praised Granqvist for his keeping his cool when the penalty chance came.
"For the first 10 minutes, they managed to keep the ball in our half, played a lot of long balls, but Pontus [Jansson] was more and more able to deal with that," he said.
"After that, we got to grips with the match, we were very methodical, very physical, tried to cross to create chances and there were a few set-piece chances we handled.
"The only thing that was a little scary was a 0-0 at half-time because you know the second half never pans out the way the first does. But we continued with a few opportunities, then we got the penalty.
"I was a bit questioning about VAR but it wasn't even needed in this case, it was crystal clear. It was an excellent penalty by Granqvist, especially after the long wait.
"We have a clean sheet and based on how we decided to play the game they really implemented what we set out to do. I'm very proud and pleased with the performance."
Sweden's midfield star Emil Forsberg endured a disappointing performance but Andersson felt the close attention he received from the South Korean defence helped to free up his other attacking players.
"He wasn't very involved in our game," Andersson admitted. "They talked about man-marking him so we gained more space on the other side with Viktor Claesson. Emil is part of the team and I hope we can involve him more in the next match."
Andersson also confirmed Manchester United's Victor Lindelof missed the match through illness, although he appeared confident he would be fit to face Germany.
"Lindelof was feeling a bit unwell yesterday [Sunday]," he added, "He woke up more energetic but we decided he would stay in the hotel and recover."