Kajsa Lind gave Vittsjö the lead just 20 minutes into the first half, but Filippa Curmark equalized before halftime.
In the second half, Hammarby scored two more goals after Emilie Bragstad headed in the go-ahead goal and Svea Rehnberg completed the scoring to make it 3-1 in the final minutes.
Anna Linder, 17, made her Swedish women's debut when she was substituted on for Hammarby with half an hour left to play.
"It was great fun. It was nervous, but when you get in and start playing, the nervousness goes away and you just go for it," the 17-year-old tells Viaplay.
Earlier on Saturday, title contender Häcken won 1-0 against Rosengård. Häcken tops the table four points ahead of “Bajen”.
