Mari Nyhagen opened the scoring in the 41st minute, before Elin Sørum extended the lead to 2-0 from the penalty spot four minutes later.
At the start of the second half, Mathilde Janzen made it 3-0, before an own goal by Apolonia made Hammarby's winning score 4-0.
In the qualifying final on Saturday, Hammarby will face Juventus. If they win, they will qualify for the Champions League playoff.
