| Date | Round | Round | H/A | Res. | |||
|---|---|---|---|---|---|---|---|
| 21.04.1940 | Matchday 9 | Matchday 9 | A | ![]() | Malmö FF | D | 0:0 |
| 28.04.1940 | Matchday 17 | Matchday 17 | A | ![]() | AIK | L | 2:4 |
| 02.05.1940 | Matchday 15 | Matchday 15 | H | ![]() | IK Brage | L | 1:3 |
| 05.05.1940 | Matchday 19 | Matchday 19 | H | ![]() | Helsingborgs IF | L | 1:3 |
| 10.05.1940 | Matchday 18 | Matchday 18 | A | ![]() | IFK Göteborg | L | 1:3 |
| 13.05.1940 | Matchday 20 | Matchday 20 | A | ![]() | Hammarby | D | 1:1 |
| 19.05.1940 | Matchday 21 | Matchday 21 | A | ![]() | IK Sleipner | L | 0:2 |
| 31.05.1940 | Matchday 16 | Matchday 16 | H | ![]() | IF Elfsborg | L | 4:6 |
| 02.06.1940 | Matchday 22 | Matchday 22 | H | ![]() | Malmö FF | L | 1:4 |
Örgryte IS








