The 20-year-old, who has represented England at various youth levels, will stay with the South Coast club until January 2.
He is expected to make his debut for the Cherries when Eddie Howe's men host Brighton & Hove Albion on Saturday.
Yennaris has made four first-team appearances for Arsenal, including a 45-minute cameo in a 2-1 defeat at Manchester United in January 2012.
Restore Data
| Team | P | W | D | L | F | A | GD | PTS | |
| 1 | Manchester CityMan City | 5 | 4 | 1 | 0 | 13 | 5 | 8 | 13 |
| 2 | Liverpool | 5 | 4 | 0 | 1 | 10 | 1 | 9 | 12 |
| 3 | Aston Villa | 5 | 4 | 0 | 1 | 10 | 7 | 3 | 12 |
| 4 | Arsenal | 5 | 3 | 2 | 0 | 8 | 3 | 5 | 11 |
| 5 | Chelsea | 5 | 3 | 1 | 1 | 11 | 5 | 6 | 10 |
| 6 | Newcastle UnitedNewcastle | 5 | 3 | 1 | 1 | 7 | 6 | 1 | 10 |
| 7 | Brighton & Hove AlbionBrighton | 5 | 2 | 3 | 0 | 8 | 4 | 4 | 9 |
| 8 | Nottingham ForestNott'm Forest | 5 | 2 | 3 | 0 | 6 | 4 | 2 | 9 |
| 9 | Fulham | 5 | 2 | 2 | 1 | 7 | 5 | 2 | 8 |
| 10 | Tottenham HotspurSpurs | 5 | 2 | 1 | 2 | 9 | 5 | 4 | 7 |
| 11 | Manchester UnitedMan Utd | 5 | 2 | 1 | 2 | 5 | 5 | 0 | 7 |
| 12 | Brentford | 5 | 2 | 0 | 3 | 7 | 9 | -2 | 6 |
| 13 | Bournemouth | 5 | 1 | 2 | 2 | 5 | 8 | -3 | 5 |
| 14 | West Ham UnitedWest Ham | 5 | 1 | 1 | 3 | 5 | 9 | -4 | 4 |
| 15 | Leicester CityLeicester | 5 | 0 | 3 | 2 | 6 | 8 | -2 | 3 |
| 16 | Crystal Palace | 5 | 0 | 3 | 2 | 4 | 7 | -3 | 3 |
| 17 | Ipswich TownIpswich | 5 | 0 | 3 | 2 | 3 | 8 | -5 | 3 |
| 18 | Southampton | 5 | 0 | 1 | 4 | 2 | 9 | -7 | 1 |
| 19 | Wolverhampton WanderersWolves | 5 | 0 | 1 | 4 | 5 | 14 | -9 | 1 |
| 20 | Everton | 5 | 0 | 1 | 4 | 5 | 14 | -9 | 1 |
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