His goal was scruffy, though.
The play opened up for Forsberg on the edge of the area who shimmied away from the marker and then hit an effort goalbound. Sweden's last quarterfinal appearance was in 1994, on its way to the semifinals. As for being easy opposition, you get the sense that they would more than hold their own against either England or Colombia this weekend.
Both countries will be quietly pleased with how the second-half of the draw has unfolded, although they remain the rank outsiders in the betting to taste golden cup glory for the first time, with Switzerland priced at 33/1 and Sweden 40/1.
This was another opportunity spurned by the Swiss, who have reached the last 16 in four of the past five World Cups only to be eliminated without scoring a goal.
The 2018 World Cup has provided excitement, thrills, shock results and great goals, and it has been widely regarded as one of the best tournaments in recent memory.
Haris Seferovic saw his fine header smothered at his feet by Olsen in added time but, as so often happens, a breakaway counter saw Martin Olsson of Swansea set free and bearing down on a probable goal had it not been for a shove in his back by Michael Lang.
The referee initially pointed to the spot, only to overturn his original decision after consulting the VAR system. Switzerland was fortunate to still be alive at that point.
Switzerland looked to be more intent on seizing that opportunity at the outset, controlling possession in the first half and with much of the play flowing through Xherdan Shaqiri in midfield.
While that might offend the purists, Sweden midfielder Albin Ekdal has already responded to criticism that his side are not the most easy on the eye.
This is how Hitchin's Victoria pub celebrated England-Colombia penalty shootout win
But in refusing to dismiss penalties as a lottery like many of his predecessors, his attention to detail paid off. Southgate has suffered more than most from England's penalty torture in the past.
The Swedes expertly cancelled out anything that their opponents threw at them, controlling the pace of the game and making it hard for Switzerland to build attacks of any cohesion.
This will be Sweden's 50th World Cup game as they will become the 11th team to reach that tally with Mexico being the only team that has featured in more games than the Swedes without winning the trophy.
All in all, the match was very far from being a classic, but the Swedes won't care about that.
Lustig dragged a long-range attempt in the first half sideways and it went out for a throw-in.
The Blue-Yellow were up and running 66 minutes in the second half as a shot from Emil Fosberg on the edge of the area trickled off a defender to bounce in the net.
There was another success for the video assistant referee.
It hardly mattered, though.
Both have enjoyed their high points in Russian Federation so far - Sweden with that emphatic second half against Mexico, Switzerland in dramatically beating Serbia - but they'll be sincerely hoping they have something left in the tank.
His final campaign with Greek giants Panathinaikos yielded 24 in 30 top-flight games, not to mention eight in Sweden's 11 contests on the road to Russian Federation.