England will meet hosts Russia or Croatia on Tuesday for a spot in the final, after goals from Harry Maguire and Dele Alli sent through to the last four of the competition for the first time since 1990.
"Yes, I definitely believe they are," Andersson responded when asked if England were good enough to win the tournament.
"They're strong and well-organised. I'd like to pay tribute to both the team and the coach.
"They're a good football side, they don't give a lot of openings. I believe they are perfectly capable of going all the way."
For Sweden, who failed to qualify for the previous two World Cups, it was their best result since finishing third at the 1994 finals.
"We came through to the quarter-finals in a World Cup. I think we performed really well to get here, we just weren't good enough to beat this side today," Andersson said.