The England international winger was forced off the pitch during Saturday's 3-1 defeat to Aston Villa in the Premier League.
"He will be out for at least six weeks," Wenger told reporters. "We don't think he will need surgery."
Arsenal are currently in Turkey ahead of Wednesday's Champions League qualifying playoff first leg against Fenerbahce.
Restore Data
| Team | P | W | D | L | F | A | GD | PTS | |
| 1 | Manchester CityMan City | 37 | 27 | 7 | 3 | 93 | 33 | 60 | 88 |
| 2 | Arsenal | 37 | 27 | 5 | 5 | 89 | 28 | 61 | 86 |
| 3 | Liverpool | 37 | 23 | 10 | 4 | 84 | 41 | 43 | 79 |
| 4 | Aston Villa | 37 | 20 | 8 | 9 | 76 | 56 | 20 | 68 |
| 5 | Tottenham HotspurSpurs | 37 | 19 | 6 | 12 | 71 | 61 | 10 | 63 |
| 6 | Chelsea | 37 | 17 | 9 | 11 | 75 | 62 | 13 | 60 |
| 7 | Newcastle UnitedNewcastle | 37 | 17 | 6 | 14 | 81 | 60 | 21 | 57 |
| 8 | Manchester UnitedMan Utd | 37 | 17 | 6 | 14 | 55 | 58 | -3 | 57 |
| 9 | West Ham UnitedWest Ham | 37 | 14 | 10 | 13 | 59 | 71 | -12 | 52 |
| 10 | Brighton & Hove AlbionBrighton | 37 | 12 | 12 | 13 | 55 | 60 | -5 | 48 |
| 11 | Bournemouth | 37 | 13 | 9 | 15 | 53 | 65 | -12 | 48 |
| 12 | Crystal Palace | 37 | 12 | 10 | 15 | 52 | 58 | -6 | 46 |
| 13 | Wolverhampton WanderersWolves | 37 | 13 | 7 | 17 | 50 | 63 | -13 | 46 |
| 14 | Fulham | 37 | 12 | 8 | 17 | 51 | 59 | -8 | 44 |
| 15 | Everton | 37 | 13 | 9 | 15 | 39 | 49 | -10 | 40 |
| 16 | Brentford | 37 | 10 | 9 | 18 | 54 | 61 | -7 | 39 |
| 17 | Nottingham ForestNott'm Forest | 37 | 8 | 9 | 20 | 47 | 66 | -19 | 29 |
| 18 | Luton TownLuton | 37 | 6 | 8 | 23 | 50 | 81 | -31 | 26 |
| R | Burnley | 37 | 5 | 9 | 23 | 40 | 76 | -36 | 24 |
| R | Sheffield UnitedSheff Utd | 37 | 3 | 7 | 27 | 35 | 101 | -66 | 16 |
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