The 25-year-old striker is expected to be presented by Häcken this week, TT learns.
Anvegård left Rosengård last summer to play with Everton in the Women's Super League, where she signed a two-year contract with the English club.
But it will only be a year in the English top league for the Swedish striker, who is now returning to Swedish football.
However, it will not be Rosengård, but the damallsvensk top competitor Häcken.
Häcken is four in the damallsvenska table, ten points behind Rosengård in the top, with half the series played.
Anvegård, together with Madelen Janogy, were two of the players who were poked by national team captain Peter Gerhardsson in the Swedish European Championship squad.