Amalie Vangsgaard's 1-0 goal may not have been much for Lindahl to do, but Stina Lennartsson's 2-0 looked anything but unassailable even though the ball changed direction and came towards the goal in a high, strange arc.
However, Djurgården did their best to make it a match in the second half and Tilde Lindwall's fine save in the 57th minute ensured that a hope was lit, but they never got any closer.
With the victory, Linköping is closing in on league leader Rosengård.
Currently, two points separate the teams, but then Rosengård has one less game played.