The 24-year-old had joined Freiburg from Grasshoppers last summer, but he was unable to help the club to stay in the Bundesliga.
He has become the Dortmund's third signing of the summer, following the recent arrivals of Gonzalo Castro and Julian Weigl.
Burki has won two caps for Switzerland, but he was forced to withdraw from their most recent squad through injury.
Restore Data
| Team | P | W | D | L | F | A | GD | PTS | |
| C | Bayer LeverkusenB. Leverkusen | 32 | 26 | 6 | 0 | 82 | 23 | 59 | 84 |
| 2 | Bayern MunichBayern | 32 | 22 | 3 | 7 | 90 | 41 | 49 | 69 |
| 3 | Stuttgart | 32 | 21 | 4 | 7 | 73 | 39 | 34 | 67 |
| 4 | RB Leipzig | 32 | 19 | 6 | 7 | 74 | 36 | 38 | 63 |
| 5 | Borussia DortmundDortmund | 32 | 17 | 9 | 6 | 64 | 40 | 24 | 60 |
| 6 | Eintracht FrankfurtFrankfurt | 32 | 11 | 12 | 9 | 48 | 47 | 1 | 45 |
| 7 | Freiburg | 32 | 11 | 8 | 13 | 43 | 55 | -12 | 41 |
| 8 | Hoffenheim | 32 | 11 | 7 | 14 | 56 | 64 | -8 | 40 |
| 9 | Augsburg | 32 | 10 | 9 | 13 | 49 | 57 | -8 | 39 |
| 10 | Heidenheim | 32 | 9 | 11 | 12 | 45 | 53 | -8 | 38 |
| 11 | Werder Bremen | 32 | 10 | 8 | 14 | 43 | 52 | -9 | 38 |
| 12 | Wolfsburg | 32 | 10 | 7 | 15 | 40 | 51 | -11 | 37 |
| 13 | Borussia MonchengladbachBorussia M'bach | 32 | 7 | 12 | 13 | 55 | 62 | -7 | 33 |
| 14 | VfL BochumVfL Bochum | 32 | 7 | 12 | 13 | 41 | 65 | -24 | 33 |
| 15 | Union BerlinUnion Berlin | 32 | 8 | 6 | 18 | 29 | 54 | -25 | 30 |
| 16 | Mainz 05Mainz | 32 | 5 | 14 | 13 | 33 | 50 | -17 | 29 |
| 17 | FC Koln | 32 | 4 | 12 | 16 | 24 | 54 | -30 | 24 |
| R | SV Darmstadt 98Darmstadt | 32 | 3 | 8 | 21 | 30 | 76 | -46 | 17 |
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