In the Avicii arena, the Finns could take a 3-0 lead with them into the second period – but then Slovenia reduced the lead in the period's opening.
But that reduction would help little as six straight Finland goals followed.
NHL pro Eeli Tolvanen in the Finnish team was on fire and scored four goals in the match. Teammate Teuvo Teräväinen also put his mark on the score sheet with six assists.
This was thus Slovenia's fourth straight loss in the World Championship tournament – and on Friday, Tre Kronor await.
Later on Thursday evening, Austria seemed to be about to create a real upset against Canada.
After one period, the star-studded team, led by Sidney Crosby, was trailing 0-1. But then the Canadians woke up and scored five straight goals.
Two of the goals were scored by Colorado star Nathan MacKinnon.
The final score was 5-1, and thus Canada climbed over Sweden as the new group leader after four rounds.