Then the only threat Linköping faces bottom team IFK Kalmar at home.
Linköping must win that match to keep the gold fight alive.
In extra time, substitute Fiona Brown made it 2-0 after a counterattack with goalkeeper Melina Loeck brought the ball, spun around, and put it in the empty goal.
Rosengård's goalkeeper Somea Polozen had to keep a clean sheet in her debut for the women's team.
The inside of the post saved her deep into added time.
With a quarter to go, Olivia Schough had the chance to secure the victory for Rosengård.
She pushed on from the left side and in the penalty area she feinted away two KDFF players but when she was about to finish against the threatening goalkeeper Melina Loeck, Gabrielle Carle managed to get back and break the ball path.
Audience record in Kristianstad
Just before the break, Olivia Holdt won the ball in the attacking half and played it out to Loreta Kullashi who advanced on the right wing and played it in to Mimmi Larsson who met it perfectly with her forehead and headed in 1-0 for Rosengård.
In the middle of the first half, Rosengård's Olivia Holdt shot a tricky shot from outside where the ball landed on the inside of the crossbar and down in front of goalkeeper Melina Loeck, who was able to exhale in front of the well-filled stands at Kristianstad's Football Arena.
1711 is a new audience record, something that was met with great cheers in the arena.
Kristianstad was in the gold fight for a long time, but after the last loss against Örebro and the draw against Eskilstuna before that, that chance disappeared.
However, there are still opportunities to reach a European place.