The 33-year-old suffered the injury during his side's 2-1 away victory over Lille in Ligue 1 on Saturday.
Govou, who joined Evian in 2011, will undergo surgery on Tuesday and is expected to remain on the sidelines until September.
Evian are currently 15th in Ligue 1 with 30 points from 29 matches.
Restore Data
| Team | P | W | D | L | F | A | GD | PTS | |
| 1 | Lille | 31 | 19 | 9 | 3 | 51 | 19 | 32 | 66 |
| 2 | Paris Saint-GermainPSG | 31 | 20 | 3 | 8 | 67 | 22 | 45 | 63 |
| 3 | MonacoMonaco | 31 | 19 | 5 | 7 | 64 | 38 | 26 | 62 |
| 4 | Lyon | 31 | 17 | 10 | 4 | 60 | 31 | 29 | 61 |
| 5 | Lens | 31 | 13 | 10 | 8 | 47 | 43 | 4 | 49 |
| 6 | Marseille | 31 | 13 | 9 | 9 | 40 | 36 | 4 | 48 |
| 7 | Rennes | 31 | 12 | 9 | 10 | 39 | 35 | 4 | 45 |
| 8 | Montpellier HSCMontpellier | 31 | 12 | 9 | 10 | 49 | 50 | -1 | 45 |
| 9 | Metz | 31 | 11 | 9 | 11 | 36 | 36 | 0 | 42 |
| 10 | Nice | 31 | 12 | 6 | 13 | 41 | 42 | -1 | 42 |
| 11 | Angers | 31 | 11 | 8 | 12 | 34 | 44 | -10 | 41 |
| 12 | Reims | 31 | 9 | 12 | 10 | 38 | 38 | 0 | 39 |
| 13 | StrasbourgStrasbourg | 31 | 10 | 6 | 15 | 40 | 46 | -6 | 36 |
| 14 | Bordeaux | 31 | 10 | 6 | 15 | 34 | 41 | -7 | 36 |
| 15 | Saint-EtienneSt Etienne | 31 | 9 | 9 | 13 | 32 | 46 | -14 | 36 |
| 16 | Brest | 31 | 10 | 5 | 16 | 43 | 54 | -11 | 35 |
| 17 | Lorient | 31 | 8 | 8 | 15 | 37 | 54 | -17 | 32 |
| 18 | Nimes | 31 | 8 | 5 | 18 | 30 | 58 | -28 | 29 |
| 19 | NantesNantes | 31 | 5 | 13 | 13 | 32 | 48 | -16 | 28 |
| 20 | Dijon | 31 | 2 | 9 | 20 | 20 | 53 | -33 | 15 |
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