Usually a classy creative player at club level for RB Leipzig, Forsberg has been forced to sacrifice personal glory for team functionality so far in Russia, though it has certainly been worthwhile to date.
The Swedes emerged top of a difficult group on paper, with Mexico and World champions Germany both included.
Their reward was a last-16 clash with Switzerland, who were quickly made favourites to advance.
However, after over an hour of nip-and-tuck football, it was Sweden who found the opener at the Krestovsky Stadium.
Ola Toivonen slipped the ball into the path of Forsberg and he shifted it across his body and onto his right foot to find the space for a shot from the edge of the box.
In truth, his effort was not a good one, but it was good enough to take a huge deflection of Manuel Akanji to loop high into the top corner beyond a stranded Yann Sommer.
Given their reputation for solidity and with less than 25 minutes to go, the strike put Janne Andersson's very much in the driving seat.